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Thread: Dividing surds

  1. November 24th 2012, 03:33 AM #1
    Thorpelizts
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    Dividing surds

    How do I continue and divide the surd? And is there anything wrong with my steps?
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  2. November 24th 2012, 05:25 AM #2
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    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*}.
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