Find the cube root of `10+6sqrt3`

Explanation

`(10+6sqrt3)^(1/3)`

`(a+b)^3=a^3+b^3+3a^2b+3ab^2`

`10+6sqrt3=sqrt3^3+1^3+3*sqrt3^2+3sqrt3*1^2`

`=10+6sqrt3`

`(10+6sqrt3)^(1/3)=(sqrt3+1)`.