Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals. $sqrt{-64}$

Explanation:

Step1: Factor out -1 from radical

$\sqrt{-64} = \sqrt{-1 \times 64}$

Step2: Split the radical product

$\sqrt{-1 \times 64} = \sqrt{-1} \times \sqrt{64}$

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

$i \times 8 = 8i$

Answer:

$8i$