Solve (frac{-2+sqrt{-4}}{2})^3

$$( \frac { - 2 + \sqrt { - 4 } } { 2 } ) ^ { 3 }$$

Evaluate (complex solution)

$$2+2i$$

Solution Steps

Calculate the square root of -4 and get 2i.

$$\left(\frac{-2+2i}{2}\right)^{3}$$

Divide -2+2i by 2 to get -1+i.

$$\left(-1+i\right)^{3}$$

Calculate -1+i to the power of 3 and get 2+2i.

$$2+2i$$

Real Part (complex solution)

$$2$$

Solution Steps

Calculate the square root of -4 and get 2i.

$$Re(\left(\frac{-2+2i}{2}\right)^{3})$$

Divide -2+2i by 2 to get -1+i.

$$Re(\left(-1+i\right)^{3})$$

Calculate -1+i to the power of 3 and get 2+2i.

$$Re(2+2i)$$

The real part of 2+2i is 2.

$$2$$

Evaluate

$$\text{Indeterminate}$$