# How do you simplify #(6-sqrt20) / 2#?

##### 2 Answers

#### Explanation:

First, recognize that we can simplify

We can split up a square root through the rule that

#sqrt(axxb)=sqrtasqrtb#

So,

#sqrt20=sqrt(4xx5)=sqrt4sqrt5=2sqrt5#

Thus, the expression equals

#(6-2sqrt5)/2#

We can split up the fraction:

#6/2-(2sqrt5)/2#

Which equals

#3-sqrt5#

A very slight variation in presentation. Also written with a lot of detail about each step.

#### Explanation:

Looking for common factors. 6 and 20 are even so have a factor of 2. As the denominator is 2 as well we have a first step in simplification

Write as:

But