Trigonometry Examples

$z^{2} = - 8 + 8 i \sqrt{3}$

Step 1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$z = \pm \sqrt{- 8 + 8 i \sqrt{3}}$

Step 2

The complete solution is the result of both the positive and negative portions of the solution.

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Step 2.1

First, use the positive value of the $\pm$ to find the first solution.

$z = \sqrt{- 8 + 8 i \sqrt{3}}$

Step 2.2

Next, use the negative value of the $\pm$ to find the second solution.

$z = - \sqrt{- 8 + 8 i \sqrt{3}}$

Step 2.3

The complete solution is the result of both the positive and negative portions of the solution.

$z = \sqrt{- 8 + 8 i \sqrt{3}}, - \sqrt{- 8 + 8 i \sqrt{3}}$