Question

How do you simplify `3*sqrt (16x^5)`?

Answer 1

`color(blue)(12x^2sqrtx`

Explanation:

`3*sqrt(16x^5)`

`:.=3*sqrt(2*2*2*2*x*x*x*x*x)`

`:.sqrt2*sqrt2=2, sqrtx*sqrtx=x`

`:.=3*4x^2sqrt(x)`

`:.color(blue)(=12x^2sqrt(x)`