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

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- Nov 24th 2012, 03:33 AMThorpeliztsDividing surds
How do I continue and divide the surd? And is there anything wrong with my steps?

- Nov 24th 2012, 05:25 AMProve ItRe: 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 $\displaystyle \displaystyle \begin{align*} a + \sqrt{b} \end{align*}$, multiply top and bottom by its conjugate $\displaystyle \displaystyle \begin{align*} a - \sqrt{b} \end{align*}$.