Question

| Rationalise the denominator.
$\frac{1}{3 - \sqrt{2} }$
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Answer 1

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$here \: is \: your \: answer \\ to \: rationalise \: the \: denominator \\ = \frac{1}{ 3 - \sqrt{2} } \\ = \frac{1}{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } \\ = \frac{3 + \sqrt{2} }{ {3}^{2} -( { \sqrt{2} }^{2} ) } \\ = \frac{3 + \sqrt{2} }{9 - 2} \\ = \frac{3 + \sqrt{2} }{7}$

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