Question

simplify the imaginary number.

\\-\sqrt{-225}\\

Explanation:

Express the radical using the imaginary unit

$$ -\sqrt{-225} = -\sqrt{225 \cdot (-1)} = -\sqrt{225}\sqrt{-1} $$

Substitute the imaginary unit and simplify the square root

$$ \sqrt{-1} = i $$

$$ \sqrt{225} = 15 $$

Combine the simplified terms

$$ -\sqrt{225}\sqrt{-1} = -15i $$

Answer:

Simplify the imaginary number.
\(-\sqrt{-225} =\) <blank>\(-15i\)</blank>