Question

√(5−2×√(6))+корень 3 степени (2×√(2))

Answer 1

$sqrt{5-2sqrt6} +sqrt[3]{2sqrt2}=sqrt{(sqrt3-sqrt2)^2}+sqrt[3]{(sqrt2)^3}=\\=|sqrt3-sqrt2|+sqrt2=sqrt3-sqrt2+sqrt2=sqrt3$