Question

Rationalise the denominator 2/√7-√5​

Answer 1

Answer:

$\sqrt{7} + \sqrt{5}$

Step-by-step explanation:

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