Solve sqrt{-3^2-9}

$$\sqrt{ - { 3 }^{ 2 } -9 }$$

Evaluate (complex solution)

$$3\sqrt{2}i\approx 4.242640687i$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\sqrt{-9-9}$$

Subtract 9 from -9 to get -18.

$$\sqrt{-18}$$

Factor -18=\left(3i\right)^{2}\times 2. Rewrite the square root of the product \sqrt{\left(3i\right)^{2}\times 2} as the product of square roots \sqrt{\left(3i\right)^{2}}\sqrt{2}. Take the square root of \left(3i\right)^{2}.

$$3i\sqrt{2}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$