Question

plz give the proper answer​

Answer 1

Step-by-step explanation:

You have already written the answer dear....

Answer 2

(i) Given:-

$\frac{ \sqrt{11} - \sqrt{7} }{ \sqrt{11} + \sqrt{7} } = a - b \sqrt{77}$

Rationalising the denominator.

$\frac{ \sqrt{11} - \sqrt{7} }{ \sqrt{11} + \sqrt{7} } \times \frac{ \sqrt{11} - \sqrt{7} }{ \sqrt{11} - \sqrt{7} } \\ \\ = \frac{{( \sqrt{11} - \sqrt{7} )}^{2} }{ {( \sqrt{11} )}^{2} - {( \sqrt{7)} }^{2} } \\ \\ = \frac{11 + 7 - 2 \sqrt{77} }{11 - 7} \\ \\ = \frac{18 - 2 \sqrt{77} }{4} \\ \\ = \frac{18}{4} - \frac{2 \sqrt{77} }{4} \\ \\ = \frac{9}{4} - \frac{1}{2} \sqrt{77}$

Hence,

$a = \frac{9}{2} \\ \\ b = \frac{1}{2}$