SOLUTION: Please help me solve this problem: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. 3{{{

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this problem: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. 3{{{      Log On


   

Question 269028: Please help me solve this problem:
Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers.
3+sqrt%28+720x%5E8%2Fy%5E3+%29+
I dont know if I wrote the problem correctly but the 3 is the degree of the square root.
thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers.
:
3+sqrt%28+720x%5E8%2Fy%5E3+%29+
:
Factor to reveal the perfect cubes inside the radical
3+sqrt%28%282%2A2%2A2%2A90%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%29%2F%28y%2Ay%2Ay%29+%29+
:
Extract those perfect cubes
%282x%5E2%29%2Fy3+sqrt%2890x%5E2+%29+