Question

How do you simplify `sqrt(10x)*sqrt(5x^3)`?

Answer 1

`=color(blue)(5x^2sqrt(2 )`

Explanation:

`sqrt(10x) * sqrt(5x^3)`

`=sqrt(10x * 5x^3`
`=sqrt(50 * x^4`

`=sqrt(color(blue)((5 * 5)) * 2 * color(blue)((x^2 * x^2)`

`=color(blue)(5x^2sqrt(2 )`