Question

Rationalise the denominator: √7-√5/√7+√5​

Answer 1

Answer:

$= \frac{6 - \sqrt{35} }{12}$

Step-by-step explanation:

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

$\frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \times \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} - \sqrt{5} }$

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

$= \frac{7 + 5 - 2 \sqrt{35} }{49 - 25}$

$= \frac{12 - 2 \sqrt{35} }{24}$

$= \frac{2(6 - \sqrt{35)} }{24}$

$= \frac{6 - \sqrt{35} }{12}$

i hope it will help u...☺☺