Question

5/6+√6 rationalise the dinomnater​

Answer 1

solution

$= \frac{5}{6 + \sqrt{6} } \\ = \frac{5(6 - \sqrt{6} )}{(6 + \sqrt{6}) (6 - \sqrt{6} )} \\ = \frac{5(6 - \sqrt{6}) }{36 - 6} \\ = \frac{5(6 - \sqrt{6} )}{30} \\ = \frac{6 - \sqrt{6} }{6}$

Answer 2

SOLUTION:-

Rationalise:

$\frac{5}{ 6 + \sqrt{6} } \\ \\ = > \frac{5}{6 + \sqrt{6} } \times \frac{6 - \sqrt{6} }{6 - \sqrt{6} } \\ \\ = > \frac{5(6 - \sqrt{6} )}{( {6)}^{2} - ( { \sqrt{6} )}^{2} } \\ \\ = > \frac{30 - 5 \sqrt{6} }{36 - 6} \\ \\ = > \frac{30 - 5 \sqrt{6} }{30} \\ \\ = > 1 - \frac{5 \sqrt{6} }{30}$

Hope it helps ☺️