Question

1. simplify the following:

16 + 5√(-49)
type a response

Explanation:

Step1: Simplify the imaginary square root

Recall that $\sqrt{-1}=i$, so $\sqrt{-49}=\sqrt{49\times(-1)}=\sqrt{49}\times\sqrt{-1}=7i$

Step2: Substitute and simplify the expression

Substitute $\sqrt{-49}=7i$ into the original expression:
$16 + 5\times7i = 16 + 35i$

Answer:

$16 + 35i$