✔ 最佳答案
cuberoot( 20 + 14 sqrt2 ) + cuberoot( 20 – 14 sqrt2 )
= cuberoot[ 2^3 + 3(2)^2(sqrt2) + 3(2)(sqrt2)^2 + (sqrt2)^3 ]
+ cuberoot[ 2^3 – 3(2)^2(sqrt2) + 3(2)(sqrt2)^2 – (sqrt2)^3 ]
= cuberoot( 2 + sqrt2 )^3 + cuberoot( 2 – sqrt2 )^3
= ( 2 + sqrt2 ) + ( 2 – sqrt2 )
= 4