Question

Find the Rationalising Factor of the following:
1/√5+7-√11
$\frac{1}{ \sqrt{5} + 7 - \sqrt{11} }$
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Answer 1

$Find \: the \: Rationalising \: Factor \: of \: the \: following: \\ \frac{1}{ \sqrt{5} + 7 - \sqrt{11} } \\ \\ solution. \\ = \frac{1 \times \sqrt{5} - 7 + \sqrt{11} \: }{ \sqrt{5} + 7 - \sqrt{11} \times \sqrt{5} - 7 + \sqrt{11} } \\ \\ = \frac{\sqrt{5} - 7 + \sqrt{11}}{ (\sqrt{5}) {}^{2} - {7}^{2} - ( \sqrt{11} ) {}^{2} } \\ \\ = \frac{\sqrt{5} - 7 + \sqrt{11}}{5 - 49 - 11} \\ \\ = \frac{(\sqrt{5} - 7 + \sqrt{11)} \times (- 1)}{ - 55 \times( - 1)} \\ \\ = \frac{( - \sqrt{5} + 7 - \sqrt{11)}}{55} \: \: \: is \: the \: answer... \\ \\ hope \: its \: help \: you \:$

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