Question

$14 - 6 sqrt{5 } - 6 sqrt{14 - 6 sqrt{5 } }$
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Answer 1

14-6√5-6√(9-2·3·√5+(√5)²)=14-6√5-6√(3-√5)²=14-6√5-6|3-√5|=

=14-6√5-6(3-√5)=14-6√5-18+6√5=-4

|3-√5|=3-√5  т.к. 3>√5  3-√5>0

Answer 2

14-6 sqrt{5 } -6 sqrt{14-6 sqrt{5}} = 14-6 sqrt{5-6 sqrt{(3-sqrt{5})