Question

rationalise the denominator 2/√5+√8√13
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Answer 1

Answer:

$\frac{2}{ \sqrt{5} + \sqrt{8} \sqrt{13} } \\ = \frac{2}{ \sqrt{5 } + \sqrt{104} } \times \frac{ \sqrt{5} - \sqrt{104} }{ \sqrt{5} - \sqrt{104} } \\ = \frac{2( \sqrt{5} - \sqrt{104} ) }{( \sqrt{5} )^{2} - ( \sqrt{104} ) ^{2} } \\ = \frac{2( \sqrt{5} - \sqrt{104} )\: }{5 - 104} \\ = \frac{2( \sqrt{5} - \sqrt{104} )}{ - 99}$