Solve frac{sqrt{-192}}{sqrt{-64}}

$$\frac { \sqrt { - 192 } } { \sqrt { - 64 } }$$

Evaluate (complex solution)

$$\sqrt{3}\approx 1.732050808$$

Solution Steps

Factor -192=\left(8i\right)^{2}\times 3. Rewrite the square root of the product \sqrt{\left(8i\right)^{2}\times 3} as the product of square roots \sqrt{\left(8i\right)^{2}}\sqrt{3}. Take the square root of \left(8i\right)^{2}.

$$\frac{8i\sqrt{3}}{\sqrt{-64}}$$

Calculate the square root of -64 and get 8i.

$$\frac{8i\sqrt{3}}{8i}$$

Cancel out 8i and 8i.

$$\sqrt{3}$$

Real Part (complex solution)

$$\sqrt{3} = 1.732050808$$

Evaluate

$$\text{Indeterminate}$$