SOLUTION: Simplify the square root. Do not assume variables represent positive numbers. Square root of 18x^3y^2

Question 761663: Simplify the square root. Do not assume variables represent positive numbers.
Square root of 18x^3y^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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 .

Rearrange and multiply the terms.

Combine the absolute values.

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Answer:

So simplifies to

In other words,

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