Question

2√6-√20 / 2√5+√24 * (11+√30)

Answer 1

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