Question

How do you simplify ( 2 square root x) ( 5 square root x^3 )?

Answer 1

`10x^2`

Explanation:

`(2sqrtx)(5sqrt(x^3))`

Since both factors have the same index (2), you can combine them into one radical symbol.

`(2sqrtx)(5sqrt(x^3))`
`=(2*5)*sqrt(x*x^3)`
`=10*sqrt(x^4)`
`=10sqrt(x^2*x^2)`
`=color(red)(10x^2)`