Question

Simplify the number using the imagery unit 1

Answer 1

Option C is correct.

12i

Explanation:

Simplify:
`√(-144)`

we can write 144 as;

`144 = 12 * 12 = 12^2`

Also,

`i^2 = -1` where i is the imaginary unit.

then;

`√(-144) =√(144 * i^2) = √(12^2 * i^2) = 12i` [∴
`√(a^2) = a`

Therefore, the simplified form of
`√(-144)` using imaginary unit i is , 12i