fourth root of (68-48sqrt2)

Answer 1

(68-48sqrt2)^(1/4) = (68-67.882)^(1/4) =
(0.118)^(1/4) = 0.5861

Answer 2

68-48√2 = 36-48√2+32 = (6-4√2)^2
6-4√2 = 4-4√2+2 = (2-√2)^2
So, ∜(68-48√2) = 2-√2 = .58578