Solve sqrt{-3^22-2}

$$\sqrt { - 3 ^ { 2 } 2 - 2 }$$

Evaluate (complex solution)

$$2\sqrt{5}i\approx 4.472135955i$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\sqrt{-9\times 2-2}$$

Multiply -9 and 2 to get -18.

$$\sqrt{-18-2}$$

Subtract 2 from -18 to get -20.

$$\sqrt{-20}$$

Factor -20=\left(2i\right)^{2}\times 5. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 5} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{5}. Take the square root of \left(2i\right)^{2}.

$$2i\sqrt{5}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$