Question

2√6-√20 / 2√5+√24 * (11+√30)

Answer 1

$\frac{(2 \sqrt{6} - 2 \sqrt{5} )(2 \sqrt{5 } - 2 \sqrt{6)} }{(2 \sqrt{5} + 2 \sqrt{6})(2 \sqrt{5} - 2 \sqrt{6} ) } \times$
$\frac{ - (20 - 8 \sqrt{30} + 24)}{24 - 20} =$
$\frac{ - 4(11 - \sqrt{30}) }{4} =$
$( \sqrt{30} - 11)(11 + \sqrt{30} ) = 121 - 30 = 91$