Question

sqrt(14-sqrt132)*(14+sqrt132)(sqrt3-sqrt11)
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Answer 1

$sqrt{(14-sqrt{132})*(14+sqrt{132})(sqrt3-sqrt{11})}=\ =sqrt{(14^2-(sqrt{132})^2)(sqrt3-sqrt{11})}=\ =sqrt{(196-132)(sqrt3-sqrt{11})}=sqrt{64(sqrt3-sqrt{11})}=8sqrt{sqrt3-sqrt{11}}$