Question

1. rewrite -6 + √(-25) in the form a + bi.

Explanation:

Step1: Simplify square - root of negative number

Recall that $\sqrt{-x}=\sqrt{x}\cdot i$ for $x>0$. So, $\sqrt{-25}=\sqrt{25}\cdot i$.
Since $\sqrt{25} = 5$, then $\sqrt{-25}=5i$.

Step2: Rewrite the expression

The original expression $-6+\sqrt{-25}$ becomes $-6 + 5i$.

Answer:

$-6 + 5i$