Question

Rationalise the denominator of 5/root 15 - 2 root2.

Answer 1

Answer:

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According to question:-

$\frac{5}{ \sqrt{15} - \sqrt[2]{2} }$

$\frac{5}{ \sqrt{15} - \sqrt[2]{2} } \times \frac{ \sqrt{15} + \sqrt[2]{2} }{ \sqrt{15} + \sqrt[2]{2} }$

$= \frac{5( \sqrt{15} + \sqrt[2]{2}) }{( { \sqrt{15} })^{2} - ( { \sqrt[2]{2} })^{2} }$

$= \frac{ \sqrt[5]{15} + \sqrt[10]{2} }{15 - 8}$

$= \frac{ \sqrt[5]{15} + \sqrt[10]{2} }{7}$

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