Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals.
$13 + \sqrt{-36}$

Explanation:

Step1: Rewrite negative radical

$\sqrt{-36} = \sqrt{36 \times (-1)}$

Step2: Apply imaginary number rule

$\sqrt{36 \times (-1)} = \sqrt{36} \times \sqrt{-1} = 6i$

Step3: Combine with real term

$13 + 6i$

Answer:

$13 + 6i$