Question

Rationalise the denominator 4/√11-√7​

Answer 1

√11 + √7

Step-by-step explanation:

$\frac{4}{ \sqrt{11} - \sqrt{7} } \times \frac{ \sqrt{11} + \sqrt{7} }{ \sqrt{11} + \sqrt{7} }$

$\frac{4( \sqrt{11} + \sqrt{7} )}{( { \sqrt{11} )}^{2} - {( \sqrt{7}) }^{2} }$

$\frac{4( \sqrt{11} + \sqrt{7}) }{( \sqrt{11} )^{2} - {( \sqrt{7}) }^{2} }$

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

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

√11 + √7