Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals.
$2 + \sqrt{-26}$

Explanation:

Step1: Rewrite negative radical

$\sqrt{-26} = \sqrt{26 \times (-1)}$

Step2: Apply imaginary number definition

$\sqrt{26 \times (-1)} = \sqrt{26} \times \sqrt{-1} = i\sqrt{26}$

Step3: Combine with real part

$2 + i\sqrt{26}$

Answer:

$2 + i\sqrt{26}$