SOLUTION: y{cubed root(81x^2)}-{cubed root(24x^2y^3)} I know that 3x^2 will go into both, but i'm not sure how to get the final answer. I think the answer would by y{cube root(3x^2)}, but

Algebra ->  Square-cubic-other-roots -> SOLUTION: y{cubed root(81x^2)}-{cubed root(24x^2y^3)} I know that 3x^2 will go into both, but i'm not sure how to get the final answer. I think the answer would by y{cube root(3x^2)}, but      Log On


   

Question 887288: y{cubed root(81x^2)}-{cubed root(24x^2y^3)}
I know that 3x^2 will go into both, but i'm not sure how to get the final answer. I think the answer would by y{cube root(3x^2)}, but I'm confused on how to solve these types of problems. Thanks SO much in advance!!
Found 2 solutions by MathTherapy, lwsshak3:
Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

y{cubed root(81x^2)}-{cubed root(24x^2y^3)}
I know that 3x^2 will go into both, but i'm not sure how to get the final answer. I think the answer would by y{cube root(3x^2)}, but I'm confused on how to solve these types of problems. Thanks SO much in advance!!


y%2Aroot%283%2C+81x%5E2%29+-+root%283%2C+24x%5E2y%5E3%29

y%2Aroot%283%2C+3%5E3%2A3x%5E2%29+-+root%283%2C+2%5E3%2A3x%5E2y%5E3%29

3y%2Aroot%283%2C+3x%5E2%29+-+2y%2Aroot%283%2C+3x%5E2%29

highlight_green%28highlight_green%28y%2Aroot%283%2C+3x%5E2%29%29%29

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
y{cubed root(81x^2)}-{cubed root(24x^2y^3)}
***
y%2Aroot%283%2C81x%5E2%29-root%283%2C24x%5E2y%5E3%29
y%2Aroot%283%2C3%5E4x%5E2%29-root%283%2C8%2A3x%5E2y%5E3%29
3y%2Aroot%283%2C3x%5E2%29-2y%2Aroot%283%2C3x%5E2%29
root%283%2C3x%5E2%29%283y-2y%29
y%2Aroot%283%2C3x%5E2%29