# Algebra 2: Radicals URGENT!!

posted by
**Maria**
.

Could some kind, saintly soul help me solve this problem?

Simplify:

8w sqrt(48w^5) - x^2 sqrt(3xw^2)

.

.

=8w(√16)(√3)(√w^4)(√w) - x^2(√3)(√x)(√w^2)

=32w^3(√3w) - wx^2(√3x)

not much of a "simplification" really

8w sqrt(16*3w^5) - x^2 w sqrt(3x)

= 32 w sqrt 3 * w^(5/2) - w x^2 sqrt 3 *sqrt x

= w*sqrt 3 [32 w^(5/2) - x^(5/2)]