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)]
To simplify the given expression, you can follow these steps:
1. Start by breaking down the square root terms using the property √(ab) = √a * √b.
8w * sqrt(48w^5) - x^2 * sqrt(3xw^2)
= 8w * sqrt(16) * sqrt(3) * sqrt(w^4) * sqrt(w) - x^2 * sqrt(3) * sqrt(x) * sqrt(w^2)
= 8w * 4 * sqrt(3) * w^2 * sqrt(w) - x^2 * sqrt(3) * sqrt(x) * w
2. Simplify the square root terms inside the brackets.
= 32w^3 * sqrt(3w) - wx^2 * sqrt(3x)
3. Simplify further if possible.
Unfortunately, in this case, there is not much more simplification that can be done. The simplified form of the expression is:
= 32w^3 * sqrt(3w) - wx^2 * sqrt(3x)