Question

Преобразуйте выражение.$sqrt{7-4 sqrt{3} }$

Answer 1

$sqrt{7-4 sqrt{3} } = sqrt{7-2*2* sqrt{3} } = sqrt{ 2^{2}-2*2* sqrt{3} +( sqrt{3} )^{2} } =$
=$sqrt{(2- sqrt{3} ) ^{2} } =|2- sqrt{3} |=2- sqrt{3}$