# How do you simplify #(sqrt(6)-2)/(11+sqrt(6))#?

##### 1 Answer

#### Explanation:

this is a trick to get rid of the

Why do we want to multiply by the conjugate?

because:

so if a or b (or both) were square-roots, the results is squared and we are thereby getting rid of the square-root.

Note that we need to multiply the top (numerator) also by the same conjugate-of-the-denominator so that

that is, we're only multiplying by 1 so we are not affecting the results at all.

Then it becomes easy:

At this stage, I don't see any more ways to simplify this further, so this must be the answer.