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:

`√(-36)`

Apply the radical rule:

`√(-a)=√(-1)√(a)`

Therefore, the expression becomes:

`√(-36)=√(-1)√(36)`

Recall the imaginary number rule:

`√(-1)=i`

Therefore, the expression becomes:

`=i√(36)`

Simplify:

`=6i`

The correct option is OPTION C.