SOLUTION: Help. I have not done this in ages. Write the following expression in simplified radical form.Assume that all variables represent positive real numbers. The square root of 48x^3

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Question 190643: Help. I have not done this in ages.
Write the following expression in simplified radical form.Assume that all variables represent positive real numbers.
The square root of 48x^3 y^2
thank you.

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 combine the terms.

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Answer:


So simplifies to


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

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