Question

Rationalise the denominator of the following √5+√2/√5-√2​

Answer 1

Answer:

$\frac{7 + 2 \sqrt{10} }{3}$

Step-by-step explanation:

$\frac{ \sqrt{5} + \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \times \frac{ \sqrt{5} + \sqrt{2} }{ \sqrt{5} + \sqrt{2} } \\ = \frac{ {( \sqrt{5} + \sqrt{2)} }^{2} }{ {( \sqrt{5}) }^{2} - ( { \sqrt{2}) }^{2} } = \frac{5 + 2 + 2 \times \sqrt{10} }{5 - 2} \\ = \frac{7 + 2 \sqrt{10} }{3}$

I think that is correct answer