Question

How do you find the square root of 5 to the 3rd power?

Answer 1

`(sqrt5)^3approx color(green)(11.18`

Explanation:

square root of 5 to the 3rd power can be written as
`(sqrt5)^3`

`= sqrt5*sqrt5*sqrt5`

We know that `color(blue)(sqrta*sqrta=a`

Hence `sqrt5*sqrt5*sqrt5 = 5 sqrt5`

`sqrt5 approx2.236`

So `5 sqrt5 approx 5*(2.236) approx color(green)(11.18`