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

Question

Simplify:

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

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=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)]