How do you simplify sqrt(-64)/-sqrt4?

Nov 5, 2015

$\frac{\sqrt{- 64}}{-} \sqrt{4} = - 4 i$

Explanation:

$\left[1\right] \text{ } \frac{\sqrt{- 64}}{-} \sqrt{4}$

Factor out the numbers inside the radical symbols.

$\left[2\right] \text{ } = \frac{\sqrt{- {8}^{2}}}{-} \sqrt{{2}^{2}}$

Take the perfect squares out of the radical symbols.

$\left[3\right] \text{ } = \frac{8 \sqrt{- 1}}{-} 2$

The square root of $- 1$ is equivalent to the imaginary unit $i$.

$\left[4\right] \text{ } = \frac{8 i}{-} 2$

Simplify by dividing $8 i$ by $- 2$.

$\left[5\right] \text{ } = \textcolor{b l u e}{- 4 i}$