Solving Cube Root of 26±15√3 - I am not sure how

[Jim Kata]

prove

$$\sqrt[3]{26+15\sqrt{3}} = 2 + \sqrt{3}$$

and
$$\sqrt[3]{26-15\sqrt{3}} = 2 - \sqrt{3}$$

I am not sure how to do this

 

[phinds]

Uh, this is AWFULLY simple. What have you tried?

 

[Jim Kata]

to be honest I have no idea what to do

 

[phinds]

Well since one side is a cube root, how about you try cubing both sides.

 

[Jim Kata]

got it, yes extremely simple