Question

обчислити √(7-4√3) +√(7+4√3)

Answer 1

$sqrt{7+4sqrt3}+sqrt{7-4sqrt3}=sqrt{3+4sqrt3+4}+sqrt{3-4sqrt3+4}=\ sqrt{(sqrt3+2)^2}+sqrt{(sqrt3-2)^2}=sqrt3+2-sqrt3+2=4$