SOLUTION: simplilfy: √[144x^10y^12z^18]

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Question 195063: simplilfy: √[144x^10y^12z^18]
Found 2 solutions by RAY100, jim_thompson5910:
Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
sqrt ( 144 x^10 y^12 z^18
.
sqrt144 * sqrt x^10 *sqrt y^12 *sqrt z^18
.
12 * x^5 *y^6 *z^9

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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