Question

What is `root3 (25xy^2) * root3 (15x^2)`?

Answer 1

`5xroot(3)(3y^2)`

Explanation:

When two cube roots are being multiplied, they can be combined into a singe cube root.

Find the prime factors of the product to see what we are working with.

`root(3)(25xy^2 )xx root(3)(15x^2) = root(3)(25xx15x^3y^2`

=`root(3)(5xx5xx5xx3x^3y^2" "` find the possible cube roots.

=`5xroot(3)(3y^2)`