Question

2. Rationalise the denominator

$\frac{5}{ \sqrt{8 - \sqrt{5} } ?}$
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Answer 1

Answer⤵️

given expressions,

${\frac{5}{ \sqrt{8 - \sqrt{5} } }}$

On rationalisation,

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

hope this helps!