Question

x = 8 - sqrt(60)
найти sqrt(x) - sqrt(3)

Answer 1

x = 8 - sqrt(60) = 8 - 2*sqrt(15) = 5 - 2*sqrt(3)*sqrt(5) + 3 = (sqrt(5) - sqrt(3))^2
sqrt(x) - sqrt(3) = sqrt(5) - sqrt(3) - sqrt(3) = sqrt(5) - 2*sqrt(3)