Calculate :

$\displaystyle

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

$

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- Nov 27th 2009, 08:13 PMdhiabCalculate this number
Calculate :

$\displaystyle

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

$ - Nov 27th 2009, 09:02 PMStroodle
I guess one method would be:

$\displaystyle z^3=2+11i$

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

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

Then you would have two equations to solve for the first term in the problem: $\displaystyle a^3-3ab^2=2$ and $\displaystyle 3a^2 b-b^3=11$ - Nov 27th 2009, 10:03 PMdhiab
Hello I'have a simply solution

Look here :