Question

5. Rationalise the denominators of the following:
(1)1/√5+√2​

Answer 1

$\frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} }$

$\frac{ \sqrt{5} - \sqrt{2} }{5 - 2}$

$\frac{ \sqrt{5} - \sqrt{2} }{3}$

please mark as branliest answer

Answer 2

$\huge \frac{1}{ \sqrt{5} + \sqrt{2} } \\ \\ \\ \rightarrow \: \: \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{\sqrt{5} - \sqrt{2}}{\sqrt{5} - \sqrt{2}} \\ \\ \rightarrow \: \: \frac{ \sqrt{5} - \sqrt{2} }{ {( \sqrt{5} )}^{2} - {( \sqrt{2} )}^{2} } = \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} \\ \\ \rightarrow \: \: \red{\frac{ \sqrt{5} - \sqrt{2} }{3} }$