Question

use the imaginary number i to rewrite the expression below as a complex number. simplify all radicals. -8 - √(-40)

Explanation:

Step1: Rewrite negative radical

$\sqrt{-40} = \sqrt{40 \times (-1)} = \sqrt{40}i$

Step2: Simplify the radical

$\sqrt{40} = \sqrt{4 \times 10} = 2\sqrt{10}$

Step3: Substitute back to expression

$-8 - 2\sqrt{10}i$

Answer:

$-8 - 2\sqrt{10}i$