Solve frac{41-sqrt{-128}}{8}

$$\frac { 41 - \sqrt { - 128 } } { 8 }$$

Evaluate (complex solution)

$$-\sqrt{2}i+\frac{41}{8}\approx 5.125-1.414213562i$$

Solution Steps

Factor -128=\left(8i\right)^{2}\times 2. Rewrite the square root of the product \sqrt{\left(8i\right)^{2}\times 2} as the product of square roots \sqrt{\left(8i\right)^{2}}\sqrt{2}. Take the square root of \left(8i\right)^{2}.

$$\frac{41-8i\sqrt{2}}{8}$$

Real Part (complex solution)

$$\frac{41}{8} = 5\frac{1}{8} = 5.125$$

Evaluate

$$\text{Indeterminate}$$