Solve frac{2sqrt{-2^2-4*2-220}}{4}

$$\frac{ 2 \sqrt{ - { 2 }^{ 2 } -4 \cdot 2-220 } }{ 4 }$$

Evaluate (complex solution)

$$\sqrt{58}i\approx 7.615773106i$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{2\sqrt{-4-4\times 2-220}}{4}$$

Multiply 4 and 2 to get 8.

$$\frac{2\sqrt{-4-8-220}}{4}$$

Subtract 8 from -4 to get -12.

$$\frac{2\sqrt{-12-220}}{4}$$

Subtract 220 from -12 to get -232.

$$\frac{2\sqrt{-232}}{4}$$

Factor -232=\left(2i\right)^{2}\times 58. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 58} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{58}. Take the square root of \left(2i\right)^{2}.

$$\frac{2\times \left(2i\right)\sqrt{58}}{4}$$

Multiply 2 and 2i to get 4i.

$$\frac{4i\sqrt{58}}{4}$$

Divide 4i\sqrt{58} by 4 to get i\sqrt{58}.

$$i\sqrt{58}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$