SOLUTION: Please help me. Simplify. Assume that all variables represent positive real numbers. The square root of 3wy^3 times the sqaure root of 12w^2 y Thanks!

Question 190644: Please help me.
Simplify. Assume that all variables represent positive real numbers.
The square root of 3wy^3 times the sqaure root of 12w^2 y
Thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Combine the roots using the identity

Rearrange the terms.

Multiply 3 and 12 to get 36

Multiply the variable terms by adding the corresponding exponents.

Add

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.

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Answer:

So simplifies to

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

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