Question

Rationalise the denominator of 5 upon root 11 -root 6 with explanation​

Answer 1

Step-by-step explanation:

$\frac{5}{ \sqrt{11 } - \sqrt{6} } \\ = \frac{5}{ \sqrt{11} - \sqrt{6} } \times \frac{ \sqrt{11 } + \sqrt{6} }{ \sqrt{11} + \sqrt{6} } \\ = \frac{5 \sqrt{11} + 5 \sqrt{6} }{11 - 6} = \frac{5 \sqrt{11} + 5 \sqrt{6} }{5} \\ = \frac{5( \sqrt{11} + \sqrt{6} )}{5} = \sqrt{11} + \sqrt{6}$