Solve 5sqrt{-32}=

$$5 \sqrt { - 32 } =$$

Evaluate (complex solution)

$$20\sqrt{2}i\approx 28.284271247i$$

Solution Steps

Factor -32=\left(4i\right)^{2}\times 2. Rewrite the square root of the product \sqrt{\left(4i\right)^{2}\times 2} as the product of square roots \sqrt{\left(4i\right)^{2}}\sqrt{2}. Take the square root of \left(4i\right)^{2}.

$$5\times \left(4i\right)\sqrt{2}$$

Multiply 5 and 4i to get 20i.

$$20i\sqrt{2}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$