Multiplying Radical Expressions With Different Index Numbers

This algebra video tutorial explains how to multiply radical expressions with different index numbers. It contains plenty of examples and practice problems on simplifying radical expressions.
Square Roots and Cube Roots: • Square Roots and Cube ...
Simplifying Radical Expressions:
• Simplifying Radicals
Multiplying Radical Expressions:
• Multiplying Radical Ex...
Adding & Subtracting Radicals:
• Adding and Subtracting...
Simplifying Cube Root Expressions:
• How To Simplify Cube R...
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Rationalizing The Denominator:
• Rationalize The Denomi...
Multiplying Radicals With Different Indices:
• Multiplying Radical Ex...
How To Solve Radical Equations:
• Solving Radical Equations
Solving Equations With Cube Roots:
• Solving Equations With...
Solving Complex Radical Equations:
• How To Solve Complex R...
____________________________________
How To Graph Radical Functions:
• How To Graph Radical F...
Domain of Radical Functions:
• How To Find The Domain...
How To Graph Cube Root Functions:
• Graphing Cube Root Fun...
Radical Expressions - Test Review:
• Simplifying Radical Ex...
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www.video-tuto...
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[@TheOrganicChemistryTutor]

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[@Treant.]

Thank you for this video. Our professor isn't teaching about this lesson.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another well organized video/lecture on Multiplying Expressions With Different Index Numbers in Algebra. This topic can be problematic,however pattern recognition helps with obtaining the solution.

[@RasAlGhul786]

Thank you so much, this really helped

[@reybencastante7697]

This helped me a lot huhu Thank you so much

[@n4cedits959]

Insane vid bro keep it up love it really helpful

[@godoglove115]

if it was 2x^1/3 and 4x^3/4, you do the exponents normally and does it turn to 8x for the base number?

[@uniquebanana6]

Yes

[@filipinoballedits_103]

1:42 i have a question how did you like multiply it to twelve? or how did you say it likw twelve?

[@uniquebanana6]

He multiplied 4/4 to the 5/3 which would get you 20/12, since 4*5 = 20 and 4*3= 12, so that's where it's coming from. In order to combine the two radicals he needs to rewrite the expression and basically he multiplies 4/4 to the 5/3 and the 3/3 to 3/4 so there is a common denominator and he can add them together. Anything over itself is equal to 1 (ex: 4/4=1 and 3/3=1), so he can multiply as long as he multiplies the same thing to the numerator and denominator by the same number, it's still the same. (ex: 4/3 *1/1 = 4/3 or 4/3*2/2 =8/6)

[@user-qt1bq5bw6i]

Very impressive. Thank you!

[@kryspin3266]

do you multiply the variables with fractional exponents if they were numbers?

[@MeghaIslam-qb1he]

Thank you, This video helped me a lot, but what do I do if the radicand is different?

[@Argo123_.0]

If the radicand is just numbers (ie: 2 and 3) just multiply them (2x3=6)

[@foshotho]

First and thanks so much like always!

[@TheOrganicChemistryTutor]

Thanks

[@darky2110]

Thank you!

[@Hnak.19]

Thank you

[@kuroganegama2441]

What if the denominator is the same?

[@itz_kaiiiiii]

THANK YOU FOR THIS BRO🫡

[@mathlearning2947]

do you make any videos on English grammar?

[@DeathSLei]

I Owe u a lot man

[@user-cv3dr4kt7j]

Living the breeze

[@shradhaparida5355]

Thnx

[@kieran3408]

but what if the number in the radicand is different? what then???

[@uniquebanana6]

When you're multiplying two numbers that have the same index number, you would multiply the radicands like normally ex: (x)^1/2(2y)^1/2 = (2xy)^1/2

[@clarksims5498]

what about when there's multiple variables inside the radical

[@uniquebanana6]

Combine like terms

[@joanabsalon7302]

I cant see the final answer because of the sub title 😑

[@elijahfitriani]

Turn it off in the settings

[@rereluvsval]

omg

[@hannahladeza8995]

x cubed times x to 4th is not equals to x to 7th. The answer is x to 12th

[@uniquebanana6]

x^3 (x^4) is equal to the x^7 because of the product rule for exponents. when you multiply two things with the same base, then you add the powers. It would be x^12 if you raised the x^3 to the 4th power or you raised the x^4 to the 3rd power

[@alexchan3098]

teach SLOWLY, you are not in a rush