Question

find the denominator of 8/√11-√7​

Answer 1

Answer:

4

Step-by-step explanation:

refer to attached file

Answer 2

Hope this helps you ;)

$\frac{8}{ \sqrt{11} - \sqrt{7} }$

$= \frac{8}{ \sqrt{11} - \sqrt{7} } \times \frac{( \sqrt{11} + \sqrt{7}) }{( \sqrt{11} + \sqrt{7} ) }$

$= \frac{8( \sqrt{11} + \sqrt{7}) }{ {( \sqrt{11}) }^{2} - {( \sqrt{7} )}^{2} }$

$= \frac{8( \sqrt{11} + \sqrt{7} )}{11 - 7}$

$= \frac{8( \sqrt{11} + \sqrt{7} ) }{4}$

$= 2( \sqrt{11} + \sqrt{7} )$

$= 2 \sqrt{11} + 2 \sqrt{7}$