# How do you rationalize the denominator #1/ (1+ sqrt3 - sqrt5)#?

##### 1 Answer

The rationalization of this denominator is a two-set process.

First rationalize the

and then, after some simplification

rationalize the

Let

So our initial stage is to rationalize the denominator of

As usual to do this we multiply the numerator and the denominator by the conjugate of the denominator:

Substituting

we get

Rationalizing this denominator (using the conjugate of

results in