SOLUTION: Simplify the radical expression: {{{ sqrt( 125x^5y^2z^4) }}}

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Question 253918: Simplify the radical expression:

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Factor into


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 .


Take the square root of to get .


Rearrange and multiply the terms.

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Answer:


So simplifies to


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

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