Solve sqrt{27*(-8)*125}

$$\sqrt{ 27 \times (-8) \times 125 }$$

Evaluate (complex solution)

$$30\sqrt{30}i\approx 164.316767252i$$

Solution Steps

Multiply 27 and -8 to get -216.

$$\sqrt{-216\times 125}$$

Multiply -216 and 125 to get -27000.

$$\sqrt{-27000}$$

Factor -27000=\left(30i\right)^{2}\times 30. Rewrite the square root of the product \sqrt{\left(30i\right)^{2}\times 30} as the product of square roots \sqrt{\left(30i\right)^{2}}\sqrt{30}. Take the square root of \left(30i\right)^{2}.

$$30i\sqrt{30}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$