Question

use the imaginary number i to rewrite the expression below as a complex number. simplify all radicals.
-√(-60)

Explanation:

Step1: Rewrite negative radicand

$-\sqrt{-60} = -\sqrt{60 \times (-1)}$

Step2: Separate imaginary unit

$= - \sqrt{60} \times \sqrt{-1}$

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

$= -i\sqrt{60}$

Step4: Simplify radical

$\sqrt{60} = \sqrt{4 \times 15} = 2\sqrt{15}$

Step5: Combine terms

$= -2i\sqrt{15}$

Answer:

$-2i\sqrt{15}$