Solve frac{12-sqrt{-20}}{4}

$$\frac { 12 - \sqrt { - 20 } } { 4 }$$

Evaluate (complex solution)

$$-\frac{\sqrt{5}i}{2}+3\approx 3-1.118033989i$$

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}.

$$\frac{12-2i\sqrt{5}}{4}$$

Real Part (complex solution)

$$3$$

Evaluate

$$\text{Indeterminate}$$