Solving Radical Equations [fbt]

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  • Опубліковано 15 січ 2025

КОМЕНТАРІ • 317

  • @FortBendTutoring
    @FortBendTutoring  5 років тому +5

    Here's some helpful timestamps 4 this [fbt] radicals video!
    [fbt] Timestamps
    00:32 [1] √(x) - 2 = 6
    02:20 [2] 2√(y - 4) + 3 = 11
    04:07 [3] √(2 - 7x) = 2x
    07:44 [4] √(x + 2) + 50 = 45
    09:53 [5] √(5x + 3) = √(2x - 1)
    11:37 [6] √(3n + 1) - √(n + 1) = 2
    17:41 [7] ³√(x) - 1 = -5
    Peace,
    Mr. Whitt

  • @curious8027
    @curious8027 9 років тому +9

    Because of you, I'm teaching my 12 year old son PreCalculus. He totally comprehends Logarithms, Exponents, Radicals & Quadratic equations. My entire family enjoys all of your videos, just about every weekend!! We're so addicted, we even create harder problems and attempt to solve them. You're a true gentleman, and definitely a scholar. "Put that in a RED BOX"!!😁👍👏

    • @FortBendTutoring
      @FortBendTutoring  9 років тому +1

      Lol you got it! Thanks so much 4 the feedback! It's great hearing you and your family find the videos useful! Tell everyone I said hello and to keep their Arrows Poppin' and Merry Christmas!

    • @Shinedown6479
      @Shinedown6479 6 років тому

      I'm 13 I know all of that radical equations simplifying radicals graphing logarithms properties of logarithms factoring quadratics rules of exponents solving quadratics but I got a question does He know about sigma(summation notation) arithmetic and geometric sequences im just wondering

    • @FortBendTutoring
      @FortBendTutoring  6 років тому

      Yes, he does!

  • @FortBendTutoring
    @FortBendTutoring  11 років тому

    Way to go! Glad to know we were able to help and you're very welcome! Good luck on your finals!

  • @jeremychavez4532
    @jeremychavez4532 9 років тому +10

    you the greatest comin in clutch with this vid fam, keep up the good work

  • @savannahsampson3553
    @savannahsampson3553 5 років тому +3

    I absolutely LOVE how you teach Math .

  • @Twoface0233
    @Twoface0233 7 років тому +21

    Teachers... Take notes, this is how you should be teaching!

  • @haydendraycott7897
    @haydendraycott7897 9 років тому +6

    I have to prepare for finals and this helped a lot!!! No more staying up late, no more killing innocent little brain cells trying to figure out U.F.O.s (Unidentified Frustrating Operations) that would otherwise be very hard. Thank you Fort Bend for uploading! Somebody give this guy a medal!

  • @electricsymmetric7963
    @electricsymmetric7963 8 років тому +56

    What my teacher explains in 3 hours, you can in 20 minutes 😂😂😂😂

    • @FortBendTutoring
      @FortBendTutoring  8 років тому +11

      Time is money! LOL Happy 2 help!

    • @ZikzakHD
      @ZikzakHD 8 років тому +2

      Respect bro big love to you

  • @lankenaugirl
    @lankenaugirl 4 роки тому +1

    Thank you!. Your videos are the best of all I've seen, and I've seen tons. I very much appreciate what you do.

    • @FortBendTutoring
      @FortBendTutoring  4 роки тому

      Thanks 4 the support Gabrielle! I really appreciate it! 👨🏾‍🏫😁

  • @estoyfea7829
    @estoyfea7829 8 років тому +1

    geez! I learned from you than my teacher in math class. She spent almost 2 hrs to teach us, but we were still confused hahaha! thank you soo much! it's very explainable. You are my favorite on UA-cam when it comes to math.

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +estoy fea I'm blushing! :-) Glad 2 hear the video helped! Thanks 4 watching!

  • @hassansamatar8429
    @hassansamatar8429 9 років тому +1

    Out of all channels I'm subscribed to for math tutoring including Khan academy, by FAR this is the best. THANK you good sir!!!

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      Happy 2 help! Thanks 4 your testimonial and support Hassan!

  • @notofthisworld5267
    @notofthisworld5267 6 років тому +2

    Thanks! This helped me. I just write down everything you do and look back over it as I listen. Helps a lot!

    • @FortBendTutoring
      @FortBendTutoring  6 років тому

      You’re very welcome Billy! Happy 2 help! Thanks 4 the feedback!

  • @monezbassard4092
    @monezbassard4092 9 років тому +2

    Glad to see a African American Male actually succeed. Loved the lessons really brought out the steps and gave useful things or steps to remember.

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      Thanks 4 the feedback and support Monez!

    • @vascobishop3359
      @vascobishop3359 Рік тому

      Seems that you are the only one who has noticed this great achievement.

  • @officialgoonette
    @officialgoonette 10 років тому +6

    Im honestly not a great fan of math but this helped me out a whole lot. Thank you for all the help for me understanding :) and by the way keep doing your work im sure students like me will get a lot of help from you :)

  • @yourlordship1119
    @yourlordship1119 8 років тому +2

    You are gonna be my passing grace! Thank you, I wish I found ur videos sooner, my final is tomorrow and I've gotta learn about 5 subjects by then. This is what I get for procrastinating.

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Ryan Rousseau Good luck Ryan! I'll be praying 4 you!

  • @maryjones8649
    @maryjones8649 9 років тому +1

    Thank you very much fbt. I appreciate the time you've taken to help people like me. I really learn and understand the problems as you go. Keep up the great work, I'm liking and viewing more of your videos. :D

    • @FortBendTutoring
      @FortBendTutoring  9 років тому +1

      Thanks so much 4 the feedback Molly! We're happy 2 hear you're learning from our videos! :-)

  • @EckoSisi180010
    @EckoSisi180010 9 років тому +1

    I am currently going into my sophomore year . I am taking algebra 2 as an advance course in summer school . My relationship with my teacher is not as good as I'd like to . She intimidates me because I can tell that she thinks I'm not capable of doing this stuff . She expects us to know the stuff in a day and the class goes by so fast . You've helped me pass my first semester :) and I really appreciate it . I passed with an A after watching your videos . Before that I was failing ... I can't thank you enough ! . Today is my first day of the second semester and I hardly understood the lesson but thanks to you I've picked up on the topic really fast that I'm surprised ! . Keep on doing what you doing because I can tell that you have motivation to do this stuff :)

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      That's wonderful 2 hear Dulce! Good luck in your 2nd semester of Algebra 2 and never stop believing in yourself! You are very capable of achieving anything you want 2 in life! Keep us posted! :-)

  • @bennyboyle1134
    @bennyboyle1134 10 років тому +1

    Great, great, great. Keep going!!!! Keep doing it!!!

  • @altheascott759
    @altheascott759 6 років тому +1

    Very understandable. I had to pause it a few times to catch up to him but once I did it was very comprehensive. I haven't been in school for a long time so this was very helpful in understanding where I was making some mistakes. Thank you for all of your assistance.

  • @jennymark7596
    @jennymark7596 8 років тому +2

    man I love your tutureials. thank you. you are a thousand times better than my prof. at college

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      Thanks 4 watching and thanks 4 the support Jenny!

  • @siragan4369
    @siragan4369 5 років тому +2

    You are an excellent teacher with the nicest and musical accent

  • @vascode-gamabishop614
    @vascode-gamabishop614 2 роки тому +1

    You smashed it Mr Whitt

  • @1lottz
    @1lottz 6 років тому +1

    THANK YOU SOOOOOO MUCH FOR THIS VIDEO!!!! I Found this extremely helpful. I like the way that you combined multiple problems involving radical expressions. I am now a new subscriber to this channel. Keep up the Great Work!

    • @FortBendTutoring
      @FortBendTutoring  6 років тому

      Thanks 4 your feedback Paccaso! I appreciate your feedback and support!😀

  • @dwaneangeloayala8229
    @dwaneangeloayala8229 7 років тому +4

    Thanks Mr. Whitt I have been watching your video's for 3 years and they always help and with this video it ca help me in my exam wish me luck :)

    • @FortBendTutoring
      @FortBendTutoring  7 років тому

      +Dwane Angelo Ayala Thanks 4 your patronage Dwane and good luck on your exam! I'm rooting 4 you! 😁

    • @dwaneangeloayala8229
      @dwaneangeloayala8229 7 років тому +1

      No thank you... :)

  • @blancavasquez9825
    @blancavasquez9825 6 років тому

    So happy I stumbled across your video! Great job at explaining it and breaking it down!!!!

  • @jlo6780
    @jlo6780 9 років тому +1

    wow, thank you very much FBT, your videos have help me out from pre-Algebra to Algebra 1, your never to old to learn i'm 58 years old and will completed my BBA in 1 year,

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      You're absolutely correct! Thanks 4 watching and good luck with your academic endeavors!

  • @PassingThroughPhases
    @PassingThroughPhases 9 років тому +1

    Thank you Mr.Whitt you just saved my math grade!!!!

  • @jazzeyt123
    @jazzeyt123 11 років тому

    I want to give a big Thank you for your Time and Effort, I always came to your channel when I needed help, your videos are always explained clearly, and thoroughly. I am doing Finals Wednesday and hopefully I'm done with math but if not then I will be hanging around a little longer...lol.

  • @ashleyterik1754
    @ashleyterik1754 9 років тому +4

    your a good teacher and good man! thanks for saving me this year!!!!! your in my debt!

    • @FortBendTutoring
      @FortBendTutoring  9 років тому +2

      You're welcome Ashley! Happy 2 help!

    • @lankenaugirl
      @lankenaugirl 4 роки тому +1

      @@FortBendTutoring Love, love, the tactful, "you're." What else would ladies and gentlemen expect from a terrific teacher? Stop blushing.

  • @monicablackwell1076
    @monicablackwell1076 7 років тому

    this session has been easier to understand than my professor in 6 weeks. Thank you!

  • @makeupbyDayzee
    @makeupbyDayzee 8 років тому +1

    Thank you so much! I watched many videos but this was the only video that actually helped me solve the problem.

  • @obasikizito2695
    @obasikizito2695 8 років тому

    Sir , you are the best maths teacher i had ever learn from. long live and prosperity to you and your family

  • @inqvisidor
    @inqvisidor 5 років тому +3

    15:44 got my arrows POPPIN

  • @fintea9041
    @fintea9041 5 років тому +1

    That was great!.. so neat! Thank you

  • @blueviper8622
    @blueviper8622 6 років тому +1

    These videos really help. Really well done.

  • @richardchartier1983
    @richardchartier1983 6 років тому +1

    I reference your stuff all the time and you're always in my sidebar since I watch mathispower4u (reference from my teachers). I appreciate how you walk through each example. It helps me grasp the concepts and understand how to work through problems. I took math 87 last year and I am in math 97 this year preparing for college-level math and you do a stellar job. Keep those arrow poppin' and keep those answers boxin'. I'll be watchin'!

    • @FortBendTutoring
      @FortBendTutoring  6 років тому

      Thanks 4 the support Richard! I really appreciate it!

  • @fuamatalatoaetolu7032
    @fuamatalatoaetolu7032 7 років тому

    rating 10+... you explain things in a way that makes it much easier to undertstand... thank you so much!! exellent!!

  • @juanar6233
    @juanar6233 8 років тому

    What an awesome way that you explain the problems, makes it easier to follow. Thank you

  • @stevenmwenda5299
    @stevenmwenda5299 4 роки тому +2

    Great

  • @tmptwassteffensen5807
    @tmptwassteffensen5807 9 років тому +2

    Thank you soo much...I have always struggled with math but your videos make it kind of fun. I really like when say "why" you can't do something...you give great explanations...thank you thank you thank you!!!

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      Happy 2 help and I really appreciate the feedback!

  • @dinoLomedico
    @dinoLomedico 8 років тому +1

    The friends of Job attempted to comfort him but, they only gave Job " Extraneous Solutions." While listening to this valuable lesson, I so much thought of the reasoning Job's friends, awesome wisdom in their words , but not the words to his situation. Can not think of a better way to characterize this but, Extraneous solutions. God bless you Mr Whitt, may your teaching be more successful with the results that go beyond human description.

    • @FortBendTutoring
      @FortBendTutoring  8 років тому +1

      +Dino Lomedico I appreciate your support Dino! I pray I'm able 2 be a blessing 2 others!

  • @hassanibrahim54
    @hassanibrahim54 8 років тому +1

    Great teacher, making the hard problems so easy to understand . Thank you

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Hassan Ibrahim My pleasure Hassan! Thanks 4 watching!

  • @stormtropper6911
    @stormtropper6911 8 років тому +2

    appreciate what you do. excellent work. thanks!

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Storm tropper You're welcome! Thanks 4 the support!

  • @christinagilkes3499
    @christinagilkes3499 8 років тому +1

    Gracias!!! Esto video fue muy beneficioso para mi!!!

  • @alliehawkes4799
    @alliehawkes4799 8 років тому +1

    It's the period before my math final and this video did more for me than my unit on radical equations ever did!

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Allie Hawkes Wow Allie! That's incredible! Happy 2 help!

  • @britniedvsable
    @britniedvsable 9 років тому +1

    thank you so much this is so helpful. I love your factoring method and I am going to look more into that it seemed way easier than what I was taught.

  • @angelodundeejimenez6251
    @angelodundeejimenez6251 9 років тому +1

    Thank you, Fort Bend. big help. :)

  • @justinecollins1184
    @justinecollins1184 8 років тому +1

    This is great resource and I will include it in my class room discussion as a resource.

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Justine Collins Thanks 4 sharing Justine! I really appreciate it!

  • @katieklassen1051
    @katieklassen1051 10 років тому +1

    I missed school the day my teacher taught this and my notes were confusing, this video helped me soooo much. Thank you and keep posting helpful videos.

  • @antoninomineo8644
    @antoninomineo8644 9 років тому +1

    The professor was absolutely clear, and made the lesson going smothly. However, the video is suitable for those who wants a refreshment on this topic, great video though.

  • @abdulazizalbabtain4699
    @abdulazizalbabtain4699 Рік тому +1

    Man, you are the best

  • @sourav3747
    @sourav3747 6 років тому +1

    Wonderful way of teaching

  • @AmethystVr-7
    @AmethystVr-7 7 років тому +2

    If I pass my College Algebra Class it will be because of all your video!

    • @FortBendTutoring
      @FortBendTutoring  7 років тому

      +Wilmari Eckerson I pray you do Wilmari! Thanks so much 4 the donation! You're awesome!

  • @chubbychub9909
    @chubbychub9909 9 років тому +2

    You teach More more more better than my math teacher in science high

  • @chrisbrown865
    @chrisbrown865 Рік тому +1

    VERY SUCCINCT AND CLEAR

  • @alex-cc3vw
    @alex-cc3vw 7 років тому +1

    our teacher gave us a performance wherein we should also discuss solving radical through vid, now I got a clue how should I start ma performance. arigato FBT this is really a big help for us😄

  • @jocelynpink1120
    @jocelynpink1120 8 років тому +1

    Very good teaching, well explained

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Jocelyn Pink Thanks Jocelyn! I appreciate the feedback!

  • @BigTex9752
    @BigTex9752 7 років тому +20

    LOL that intro

  • @TORQUEgamingOfficial
    @TORQUEgamingOfficial 7 років тому +1

    ah man thank you so much for these videos! I have a 62% in Algebra 2 and a 64% and below at my school is a fail... I have a retest tomorrow and I'm starting to feel super strong about it again! Mad respect to you man!

    • @FortBendTutoring
      @FortBendTutoring  7 років тому

      Thanks 4 the support and good luck on your retest! I"m rooting 4 you!

  • @tabethaledesma9547
    @tabethaledesma9547 5 років тому +1

    you guys are really cool thanks for the video . (hope this aint ignorant) your way of teaching is really good

  • @jacquelinerichards1837
    @jacquelinerichards1837 4 роки тому +1

    A very good and precise teaching

    • @FortBendTutoring
      @FortBendTutoring  4 роки тому

      Thanks 4 the feedback and support Jacqueline! 😁👨🏾‍🏫

  • @nuramoboy
    @nuramoboy 8 років тому +16

    I like the Term Ladies and Gentlemen

  • @p6laris138
    @p6laris138 9 років тому +1

    Thank you FBT! I have a quiz for tomorrow and I don't know anything. Your videos are great for last minute learning(I do cram, but this time I just don't know anything). Thank you and more power!
    P.s. I wish you were my professor lol

  • @albertodelvalle4761
    @albertodelvalle4761 9 років тому +1

    these videos are literally getting through this semester.

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      Happy 2 help Alberto! Thanks 4 watching and good luck 2 you!

  • @gloriacarvajal5021
    @gloriacarvajal5021 9 років тому +1

    you guys are awesome! !! Thank you

  • @ubochinacharles7219
    @ubochinacharles7219 7 років тому +1

    this is fascinating

    • @FortBendTutoring
      @FortBendTutoring  7 років тому

      +ubochina charles Indeed it is! Thanks 4 watching Ubochina!

  • @st8cy448
    @st8cy448 6 років тому +1

    You are AMAZING!!!!! Thank you!!!

  • @dutchiplays
    @dutchiplays 9 років тому +2

    This helps a lot for my upcoming exam. Thank you!

  • @JonathanMichaelWendtvlogs
    @JonathanMichaelWendtvlogs 9 років тому +1

    wow! i understand this now! Thank you!

  • @hananahuy4258
    @hananahuy4258 7 років тому +1

    this is great! thank you so much!

    • @FortBendTutoring
      @FortBendTutoring  7 років тому

      +Hananah Uy You're very welcome Hananah! Happy 2 help!

  • @thehonestassassinsguild6541
    @thehonestassassinsguild6541 10 років тому +2

    Thanks for the help! I was gone the day we learned this at school so I was confused.

  • @chriswessmusic
    @chriswessmusic 8 років тому +1

    Thank You so much! You helped me a lot!

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +DJ Linuxis Productions Happy 2 help! Thanks 4 watching!

  • @topethedope8933
    @topethedope8933 7 років тому +1

    You just earned a subscriber

  • @lacihasty5330
    @lacihasty5330 4 роки тому +1

    You are AMAZING!!

    • @FortBendTutoring
      @FortBendTutoring  4 роки тому +1

      Thanks so much Laci! I appreciate the support! 👨🏾‍🏫😁

  • @nalisettysasidhar3050
    @nalisettysasidhar3050 9 років тому +1

    Good explanation very helpful

  • @XSteelCobraX
    @XSteelCobraX 9 років тому +1

    Thank you for your explanation. This video was very clear, very helpful, and had examples for every type of problem on my upcoming test. I have this one and then my final exam. You were great and made this fun. I'll be sure to subscribe and come back if I need more help. Thank you again.

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      Thanks 4 watching and good luck on your upcoming exams!

  • @annaguido7124
    @annaguido7124 6 років тому +1

    OMG, you are awesome... I understood everything

  • @jasdeduque6061
    @jasdeduque6061 7 років тому

    Thank you so much for making this video, I learned a lot

  • @daltondalton5501
    @daltondalton5501 9 років тому +1

    Thank you very much! you are awesome!

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      You're welcome and thanks 4 the compliment Charles!

  • @editacolindres7550
    @editacolindres7550 9 років тому +1

    I'm only in the seventh grade and I'm new to this type of math the question u write down I always pause it and get it right I'm using my mom email to text you this message but your work is easy the first time I tried one of your questions I got so hyper and screamed the answer out loud and I am still screaming all the answers out thank you now I'm going to be ready for this school year

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      That's wonderful Edita! Thanks 4 sharing your testimony and good luck in school next year!

    • @editacolindres7550
      @editacolindres7550 9 років тому +1

      Well my name is Brittney I'm using my moms email and thank you for the luck and can you make the questions more harder cause these are super easy and all thanks to your videos I love math than ever

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      We'll see what we can do. Thanks again Brittney!

  • @__.financiaga._
    @__.financiaga._ 3 роки тому +1

    Ummm Hmmm really loved the way you talk sir 🤭👍🏻
    this make the viewer engaging with the topic.

  • @paolasalcedo1271
    @paolasalcedo1271 8 років тому +1

    Thank you so much for your video.....!!!!!!

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Paola Salcedo Happy 2 help Paola! Thanks 4 your patronage!

  • @brewbearbrewer9510
    @brewbearbrewer9510 8 років тому

    Awesome! What Electric Symmetric said, you combined a whole lot of info into a short period of time! I just have two things I'd prefer that you do, one doesn't really matter, one would be helpful: it would be helpful if you would write it down as you check each equation so it will be easier to compare our answers. And, could you get recording software on your tablet so we don't see the pixel lines? Doesn't really matter, just would make it look better. Still awesome job, great content. I feel confident for my test tomorrow! :D God bless you man!

  • @rannymiranda2166
    @rannymiranda2166 7 років тому

    i love your video, eu sou brasileira e to apredendo matematica em ingles , o seu canal está me ajudando

  • @rezaarian237
    @rezaarian237 7 років тому

    Ladies and gentlemen, this video save me again, thank you so much

  • @gsel3309
    @gsel3309 8 років тому

    Thank the lord for this channel u teach amazing !

    • @gsel3309
      @gsel3309 8 років тому +1

      I missed my test on purpose because I didn't know how to do anything my teacher is horrible at teaching but u gave me so much confidence that I will do fine when I do take it

    • @FortBendTutoring
      @FortBendTutoring  8 років тому

      +Nina x you Good luck 2 you Nina! I'm rooting 4 you on your upcoming test!

  • @nirmalakale479
    @nirmalakale479 4 роки тому +1

    Great sir. It helped me

  • @KickinAss1000
    @KickinAss1000 9 років тому +2

    Very clear steps, and detailed explanation, thank you, it's to bad my teacher just rights acouple steps with vague descriptions, clearly not in concerned with people unfamiliar with this material.

  • @cybernasly7164
    @cybernasly7164 9 років тому +1

    Thank you!

  • @thill5108
    @thill5108 7 років тому +1

    Thank you!!!!😊

  • @Pecb
    @Pecb 10 років тому +1

    Thank you man this was very helpfull.

  • @hollyvang123
    @hollyvang123 8 років тому

    very helpful. thanks so much.

  • @curious8027
    @curious8027 9 років тому +1

    A very joyous holiday, to you and yours as well.😁😁

  • @ashleymiller2361
    @ashleymiller2361 9 років тому +1

    Helped me a lot. Five stars c:

  • @voliciousstyle
    @voliciousstyle 9 років тому

    You're the reason why Im passing pre cal thank you !!

    • @FortBendTutoring
      @FortBendTutoring  9 років тому

      voliciousstyle You're the reason I have a smile on my face! So thank you!

  • @alanfernandes4521
    @alanfernandes4521 3 роки тому +1

    Super 💗

  • @craig4040
    @craig4040 10 років тому

    @Fort Bend Tutoring. Hey, I appreciate your time and effort for tutoring but I also wanna learn how you do it on your touchscreen with your pen. Can you do it on any tablet? Is there also a software or apps to download? What is that pen you are using? This way I do not have to do it on my small writing board using a marker and eraser. Thanks

    • @FortBendTutoring
      @FortBendTutoring  10 років тому

      The app is called Penultimate by Evernote and you'll need a capacitive stylus. We're using an iPad in our videos.

    • @craig4040
      @craig4040 10 років тому

      Ok, thanks

  • @monoman4083
    @monoman4083 3 роки тому +1

    rooting 4 you

  • @siragan4369
    @siragan4369 5 років тому +1

    Thank you vvvv much

  • @rezaarian237
    @rezaarian237 7 років тому

    wonderful Good Job , Thank you so much