Simplify - square root of -16/25

$- \sqrt{- \frac{16}{25}}$

Step 1

Rewrite $- \frac{16}{25}$ as ${(\frac{4 i}{5})}^{2}$ .

$- \sqrt{{(\frac{4 i}{5})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$- \frac{4 i}{5}$