Solve -5sqrt{-72}

$$-5 \sqrt{ -72 }$$

Evaluate (complex solution)

$$-30\sqrt{2}i\approx -0-42.426406871i$$

Solution Steps

Factor -72=\left(6i\right)^{2}\times 2. Rewrite the square root of the product \sqrt{\left(6i\right)^{2}\times 2} as the product of square roots \sqrt{\left(6i\right)^{2}}\sqrt{2}. Take the square root of \left(6i\right)^{2}.

$$-5\times \left(6i\right)\sqrt{2}$$

Multiply -5 and 6i to get -30i.

$$-30i\sqrt{2}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$