Solve frac{3+sqrt{-180}}{3}=

$$\frac { 3 + \sqrt { - 180 } } { 3 } =$$

Evaluate (complex solution)

$$1+2\sqrt{5}i\approx 1+4.472135955i$$

Solution Steps

Factor -180=\left(6i\right)^{2}\times 5. Rewrite the square root of the product \sqrt{\left(6i\right)^{2}\times 5} as the product of square roots \sqrt{\left(6i\right)^{2}}\sqrt{5}. Take the square root of \left(6i\right)^{2}.

$$\frac{3+6i\sqrt{5}}{3}$$

Real Part (complex solution)

$$1$$

Evaluate

$$\text{Indeterminate}$$