SOLUTION: I submitted this question and got an answer but it's not one of the answer choices on my lesson sheet. I follow your explanation until step 5-6 then I don't understand the rest.

Question 91108: I submitted this question and got an answer but it's not one of the answer choices on my lesson sheet. I follow your explanation until step 5-6 then I don't understand the rest. I am reposting the same question with the answer choices this time. I'm thinking the answer is "b" by the answer you came up with. Do you agree?
What is the square root of 162x^6 over 64x^2
The answer choices are: a. 3x^2 sq. root 2 over 8; b. 9x^2 sq. root 2 over 8
or c. 3x^2 sq. root 2 over 4 Thank you once again for your help.
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

--------------------
Lets simplify the numerator:

Start with the given expression
Factor into

Factor into

Break up the square roots using the identity

Take the square root of the perfect square to get 9

Take the square root of the perfect squares to get x

Multiply the common terms
Rearrange the terms

-------------------------------------

So the expression becomes

--------------------
Lets simplify the denominator:

Start with the given expression

Break up the square roots using the identity

Take the square root of the perfect square 64 to get 8

Take the square root of the perfect square to get x

--------------------------------

So the expression becomes

Subtract the exponents

Simplify

So the answer is B). So you are correct.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Find:
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