# Calculate this number

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• November 27th 2009, 08:13 PM
dhiab
Calculate this number
Calculate :
$
\sqrt[3]{2+11i}+\sqrt[3]{2-11i}
$
• November 27th 2009, 09:02 PM
Stroodle
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 $3a^2 b-b^3=11$
• November 27th 2009, 10:03 PM
dhiab
Hello I'have a simply solution
Look here :