# How do you simplify #(4+sqrt2 )div (8 - sqrt2)#?

##### 1 Answer

Sep 20, 2015

#### Explanation:

Let's rewrite this in the fractional form:

Then, I would multiply, top and bottom, by

(Note that

I chose

and I am hoping it will make the solution easier.

Then the fraction becomes:

which is

We can factor out 2 from the top and bottom: