# How do you rationalize the denominator and simplify #4/(5+sqrt2)#?

##### 2 Answers

Mar 19, 2016

#### Explanation:

Consider

Multiply by 1 but where

Mar 19, 2016

The simplified solution is

#### Explanation:

To rationalize the denominator you need to multiply it by a term that will eliminate the surd

You must then multiply the numerator by the same term to keep the value of the fraction the same.

So multiply by

this gives

So the solution is