Solve sqrt{(-8-4)}(-4-4)

$$\sqrt{ (-8-4) } (-4-4)$$

Evaluate (complex solution)

$$-16\sqrt{3}i\approx -0-27.712812921i$$

Solution Steps

Subtract 4 from -8 to get -12.

$$\sqrt{-12}\left(-4-4\right)$$

Factor -12=\left(2i\right)^{2}\times 3. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 3} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{3}. Take the square root of \left(2i\right)^{2}.

$$2i\sqrt{3}\left(-4-4\right)$$

Subtract 4 from -4 to get -8.

$$2i\sqrt{3}\left(-8\right)$$

Multiply 2i and -8 to get -16i.

$$-16i\sqrt{3}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$