Question

Which choices are equivalent to the expression below? Check all that apply.A.B.C.6iD.-6

Answer 1

The expression is given to be:

$\sqrt{-36}$

Apply the radical rule:

$\sqrt{-a}=\sqrt{-1}\sqrt{a}$

Therefore, the expression becomes:

$\sqrt{-36}=\sqrt{-1}\sqrt{36}$

Recall the imaginary number rule:

$\sqrt{-1}=i$

Therefore, the expression becomes:

$=i\sqrt{36}$

Simplify:

$=6i$

The correct option is OPTION C.