SOLUTION: Simplify: √[121x^12y^16z^6]

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Question 167724: Simplify:
√[121x^12y^16z^6]



Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28121x%5E12y%5E16z%5E6%29 Start with the given expression


sqrt%2811%5E2x%5E12y%5E16z%5E6%29 Rewrite 121 as 11%5E2.


sqrt%2811%5E2%28x%5E6%29y%5E16z%5E6%29 Rewrite x%5E12 as %28x%5E6%29%5E2.


sqrt%2811%5E2%28x%5E6%29%28y%5E8%29%5E2z%5E6%29 Rewrite y%5E16 as %28y%5E8%29%5E2.


sqrt%2811%5E2%28x%5E6%29%5E2%28y%5E8%29%5E2%28z%5E3%29%5E2%29 Rewrite z%5E6 as %28z%5E3%29%5E2.


sqrt%2811%5E2%29%2Asqrt%28%28x%5E6%29%5E2%29%2Asqrt%28%28y%5E8%29%5E2%29%2Asqrt%28%28z%5E3%29%5E2%29 Break up the square root.


11x%5E6y%5E8z%5E3 Take the square root of the squares to eliminate the squares. In other words, sqrt%28x%5E2%29=x


So sqrt%28121x%5E12y%5E16z%5E6%29=11x%5E6y%5E8z%5E3 where every variable is positive