SOLUTION: Square Root of 100x^9y^2z^6/4x^6y^3

Algebra ->  Square-cubic-other-roots -> SOLUTION: Square Root of 100x^9y^2z^6/4x^6y^3      Log On


   



Question 978837: Square Root of 100x^9y^2z^6/4x^6y^3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28%28100x%5E9y%5E2z%5E6%29%2F%284x%5E6y%5E3%29%29
cancel 4 into 100
sqrt%28%2825x%5E9y%5E2z%5E6%29%2F%28x%5E6y%5E3%29%29
Combine like terms (no neg exponents)
sqrt%28%2825x%5E%28%289-6%29%29z%5E6%29%2F%28y%5E%28%283-2%29%29%29%29 = sqrt%28%2825x%5E3z%5E6%29%2F%28y%29%29
Factor to reveal perfect squares
sqrt%28%2825x%5E2%2Ax%2Az%5E3%2Az%5E3%29%2F%28y%29%29
extract those perfect squares
5%2Ax%2Az%5E3%2Asqrt%28x%2Fy%29