How do you simplify #root3(250 x^8 y^4)#?

1 Answer
Jun 18, 2017

Answer:

See a solution process below:

Explanation:

First, rewrite the expression as:

#root(3)(125x^6y^3 * 2x^2y)#

Now, use this rule of radicals to simplify the expression:

#root(n)(color(red)(a) * color(blue)(b)) = root(n)(color(red)(a)) * root(n)(color(blue)(b))#

#root(3)(color(red)(125x^6y^3) * color(blue)(2x^2y)) = root(3)(color(red)(125x^6y^3)) * root(3)(color(blue)(2x^2y)) = 5x^2yroot(3)(2x^2y)#