SOLUTION: Simplify square roots: i.e. Simplify the square root of 36x^4y^5 or square root of 121x^5 divided by 9

Question 195716: Simplify square roots: i.e. Simplify the square root of 36x^4y^5 or square root of 121x^5 divided by 9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given expression.

Factor into

Factor into

Break up the square root using the identity .

Take the square root of to get .

Take the square root of to get .

Take the square root of to get .

Multiply.

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Answer:

So simplifies to

In other words, where every variable is non-negative.

# 2

Start with the given expression.

Break up the root.

Take the square root of 9 to get 3.

Factor into

Break up the square root using the identity .

Take the square root of to get .

Take the square root of to get .

Rearrange and multiply the terms.

==================================================

Answer:

So simplifies to

In other words, where
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