Solve frac{-8+sqrt{-20}}{24}

$$\frac { - 8 + \sqrt { - 20 } } { 24 }$$

Evaluate (complex solution)

$$\frac{\sqrt{5}i}{12}-\frac{1}{3}\approx -0.333333333+0.186338998i$$

Solution Steps

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}.

$$\frac{-8+2i\sqrt{5}}{24}$$

Real Part (complex solution)

$$-\frac{1}{3} = -0.3333333333333333$$

Evaluate

$$\text{Indeterminate}$$