Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals. $sqrt{-23}$

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-23} = \sqrt{-1 \times 23}$

Step2: Split the square root

$\sqrt{-1 \times 23} = \sqrt{-1} \times \sqrt{23}$

Step3: Substitute $i = \sqrt{-1}$

$\sqrt{-1} \times \sqrt{23} = i\sqrt{23}$

Answer:

$i\sqrt{23}$