SOLUTION: Simplify: √[81x^12y^8z^10]

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Simplify: √[81x^12y^8z^10]       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 89625: Simplify:
√[81x^12y^8z^10]

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
sqrt%2881x%5E12y%5E8z%5E10%29 Factor the contents of the radical and rewrite as:
sqrt%28%289%2A9%29%28x%5E6%29%28x%5E6%29%28y%5E4%29%28y%5E4%29%28z%5E5%29%28z%5E5%29%29+=+sqrt%289%5E2%28x%5E6%29%5E2%28y%5E4%29%5E2%28z%5E5%29%5E2%29
Now take the square root of the squared quantities:
9x%5E6y%5E4z%5E5 ...and there it is!