How do you simplify sqrt(-25/49)?

Sep 29, 2016

$\frac{5 i}{7}$

Explanation:

Remove the factor $\sqrt{- 1}$:

$\sqrt{\frac{25}{49}} \sqrt{- 1}$

We simplify and write $\sqrt{- 1}$ as the imaginary basis vector i:

$\frac{5 i}{7}$