# How do you simplify #sqrt(72/3)#?

##### 4 Answers

#### Explanation:

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#rArrsqrt(72/3)=sqrt24=sqrt(4xx6)=sqrt4xxsqrt6=2sqrt6#

#### Explanation:

The goal in simplifying a square root is to divide the terms into their common factors.

This can be done in the following way.

Firstly you divide the radicand to get the simplest term: 24 (

Now, you find the common factors of 24.

- 24 is made up of
#6 * 4# or#3 * 8#

6 factors into

3 is a factor of itself and 8 factors into

As you can see, either way you will get to the same result.

Adding this into our radical:

Rewriting this equation we get:

Applying the square root (or factoring out the exponents)we get:

#### Explanation:

dividing under a radical is allowed: