Solve 2sqrt{-75}

$$2 \sqrt { - 75 }$$

Evaluate (complex solution)

$$10\sqrt{3}i\approx 17.320508076i$$

Solution Steps

Factor -75=\left(5i\right)^{2}\times 3. Rewrite the square root of the product \sqrt{\left(5i\right)^{2}\times 3} as the product of square roots \sqrt{\left(5i\right)^{2}}\sqrt{3}. Take the square root of \left(5i\right)^{2}.

$$2\times \left(5i\right)\sqrt{3}$$

Multiply 2 and 5i to get 10i.

$$10i\sqrt{3}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$