Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals.
$8 - \sqrt{-69}$

Explanation:

Step1: Rewrite negative radical

$\sqrt{-69} = \sqrt{69 \times (-1)}$

Step2: Apply imaginary number definition

$\sqrt{69 \times (-1)} = i\sqrt{69}$ (since $i = \sqrt{-1}$)

Step3: Substitute back to expression

$8 - i\sqrt{69}$

Answer:

$8 - i\sqrt{69}$