Question

$a=(2+ \sqrt{3})^{2} + \sqrt{6} ( \frac{2}{ \sqrt{3} }- \frac{4}{ \sqrt{2} })+(1- \sqrt{2}) ^{2}$ ,aratati ca a ∈ IN

Answer 1

a= 4 + 4√3+ 3 +$\frac{ 2\sqrt{6} }{ \sqrt{3} } - \frac{ 4\sqrt{6} }{ \sqrt{2} }$ + 1 - 2√2 + 2

a= 4 + 4√3+ 3 + 2√2 - 4√3 + 1 - 2√2 + 2

a= 10   adicalii se reduc