# Math Help - Dividing surds

1. ## Dividing surds

How do I continue and divide the surd? And is there anything wrong with my steps?

2. ## Re: Dividing surds

A surd is considered simplified when it has a rational denominator and the "surd" parts have the smallest possible bases.

To rationalise a fraction with a denominator of \displaystyle \begin{align*} a + \sqrt{b} \end{align*}, multiply top and bottom by its conjugate \displaystyle \begin{align*} a - \sqrt{b} \end{align*}.