Solve frac{-12+isqrt{18}}{60}

$$\frac { - 12 + i \sqrt { 18 } } { 60 }$$

Evaluate

$$\frac{\sqrt{2}i}{20}-\frac{1}{5}\approx -0.2+0.070710678i$$

Solution Steps

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

$$\frac{-12+i\times 3\sqrt{2}}{60}$$

Real Part

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