# Math Help - Calculate this number

1. ## Calculate this number

Calculate :
$
\sqrt[3]{2+11i}+\sqrt[3]{2-11i}
$

2. I guess one method would be:

$z^3=2+11i$

$(a+bi)^3=2+11i$

$a^3-3ab^2+(3a^2 b-b^3)i=2+11i$

Then you would have two equations to solve for the first term in the problem: $a^3-3ab^2=2$ and $3a^2 b-b^3=11$

3. Hello I'have a simply solution
Look here :