A Nice Square Root Math Simplification | How to solve!!
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- Опубліковано 18 жов 2024
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(5√5+5)/(5√5-5)
=√5+1/√5-1
=(6+2√5)/4
=(3+√5)/2
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125=5^3, 25=5^2 thus
(sqrt(125)+sqrt(25))/(sqrt(125)-sqrt(25))=
(5*(sqrt(5)+1))/(5*(sqrt(5)-1))=
(sqrt(5)+1)/(sqrt(5)-1)=
(sqrt(5)-1+2)/(sqrt(5)-1)=
1+2/(sqrt(5)-1)=
1+2*(sqrt(5)+1)/4=
1+(sqrt(5)+1)/2=
(3+sqrt(5))/2
9:18 Just fyi, you accidentally say “25 x 5 it is 50” when looking at 2•5•5 on the board. You do write the correct answer though. Your math explanations are a joy to watch.
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15 + 5 ÷15 - 5 =20 ÷ 10 =2
2nd method is more simple.
The second method is better!
Why is it? It's better to simplify a fraction before doing calculation
I'd rather simplify it as much as possible before rationalizing denominator
√125 = 5√5 ; √25 = 5.
(5√5 + 5)/ (5√5 - 5)
5(√5 +1)/5(√5 -1)
(√5+1)/(√5 +1)(√5+1)/√5+1)
(√5+1)(√5+1)/((√5)²-1)
(√5)²+2√5+1/(5-1)
5+1+2√5/4
6+2√5/4
(3+√5)/2
5-1/4
4/4
= 1
Ok the last 3 steps are not included and others are excellent