Question

root 11 minus root 7 upon root 11 + root 7

Answer 1

Hey!!!
________________________________
●I think its rationalisation
$\frac{ \sqrt{11 - \sqrt{7} } }{ \sqrt{11} + \sqrt{7} }$
Rationalising the denominator
We get,$\frac{ \sqrt{11 }- \sqrt{7} }{ \sqrt{11} + \sqrt{7} } \times \frac{ \sqrt{11 }- \sqrt{7} }{ \sqrt{11} - \sqrt{7} } \\ \frac{{ {( \sqrt{11} - \sqrt{7} )}^{2} }}{ ({ \sqrt{11} )}^{2} - ( { \sqrt{7}) }^{2} } \\ \frac{ { \sqrt{11} }^{2} + { \sqrt{7} }^{2} - 2 \times \sqrt{11} \times \sqrt{7} }{11 - 7} \\ \frac{11 + 7 - 2 \sqrt{77} }{3} \\ \frac{17 - 2 \sqrt{77} }{3}$
is the answer

________________________________
Hope it helps!!! :)

Answer 2

Hey friend,
Here is the answer you were looking for:

(Solution in the image attached)


Hope this helps!!!

If you have any doubt regarding my answer, please ask in comment section or you can also inbox me.

@Mahak24

Thanks...
☺☺