Solve frac{-8+sqrt{-128}}{-4}

$$\frac { - 8 + \sqrt { - 128 } } { - 4 }$$

Evaluate (complex solution)

$$-2\sqrt{2}i+2\approx 2-2.828427125i$$

Solution Steps

Factor -128=\left(8i\right)^{2}\times 2. Rewrite the square root of the product \sqrt{\left(8i\right)^{2}\times 2} as the product of square roots \sqrt{\left(8i\right)^{2}}\sqrt{2}. Take the square root of \left(8i\right)^{2}.

$$\frac{-8+8i\sqrt{2}}{-4}$$

Multiply both numerator and denominator by -1.

$$\frac{8-8i\sqrt{2}}{4}$$

Real Part (complex solution)

$$2$$

Evaluate

$$\text{Indeterminate}$$