Solve frac{-8+sqrt{-12}}{40}

$$\frac { - 8 + \sqrt { - 12 } } { 40 }$$

Evaluate (complex solution)

$$\frac{\sqrt{3}i}{20}-\frac{1}{5}\approx -0.2+0.08660254i$$

Solution Steps

Factor -12=\left(2i\right)^{2}\times 3. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 3} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{3}. Take the square root of \left(2i\right)^{2}.

$$\frac{-8+2i\sqrt{3}}{40}$$

Real Part (complex solution)

$$-\frac{1}{5} = -0.2$$

Evaluate

$$\text{Indeterminate}$$