Question

How do you simplify `sqrt(324)`?

Answer 1

First you factorize the number and then see if you can take any squares out.

Explanation:

`324=2*2*3*3*3*3*3` (prime factors)
`324=2^2*3^4or 2^2*9^2`

`sqrt324=sqrt(2^2*9^2)=sqrt(2^2)*sqrt(9^2)=2*9=18`

Check your answer!
`18^2=364` check!