Question

Simplify (√11 - √7) / (√11 + √7)
plz anwer fast.

: (​

Answer 1

Answer:

(√11 - √7) / (√11 + √7)

after rationalising the above term......we get

= (√11 - √7) / (√11 + √7) × (✓11 - ✓7) / (✓11 - ✓7)

=(√11 - √7) ^2/ (√11 + √7) (✓11 - ✓7)

=(✓11)^2-2×✓11×✓7+(✓7)^2/(✓11)^2-(✓7)^2

=11-2✓77+7/11-7

=18-2✓77/4

=2(9-✓77)/4

=9-✓77/2

hope it helps you

Answer 2

$\frac{\sqrt{11}-\sqrt{7} }{\sqrt{11}+\sqrt{7}}$

$= \frac{(\sqrt{11}-\sqrt{7})(\sqrt{11}-\sqrt{7})}{(\sqrt{11}+\sqrt{7})(\sqrt{11}-\sqrt{7})}$

$= \frac{11+7-2\sqrt{77} }{11-7}$

$=\frac{18-2\sqrt{77} }{4}$

$=\frac{9-\sqrt{77} }{2}$