# How do you simplify #sqrt(567)#?

##### 1 Answer

Jan 17, 2017

The numbers 5, 6, and 7 equal 18. So it is divisible by 9.

I divided 567 by 9, and found the quotient equal to 63.

So

So, the prime factors of 9 are 3 and 3, and the prime factors for 63 are 7 and 9.

**List the prime factors for #567#.**

Group like factors into pairs.

Rewrite each pair in exponent form.

Apply the rule

Simplify.