Question

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

Answer 1

Answer:

(√7-√5)(√7-√5)/(√7-√5)(√7+√5)

(√7-√5)²/2

Answer 2

Step-by-step explanation:

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

$= \frac{7 + 5 - 2\sqrt{35} }{7 - 5} = \frac{12 - 2 \sqrt{35} }{2} = 6 - \sqrt{35}$