Question

Simplify the number using the imagery unit 1

Answer 1

Answer:

Option C is correct.

12i

Step-by-step explanation:

Simplify: $\sqrt{-144}$

we can write 144 as;

$144 = 12 \times 12 = 12^2$

Also,

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

then;

$\sqrt{-144} =\sqrt{144 \times i^2} = \sqrt{12^2 \times i^2} = 12i$                 [∴$\sqrt{a^2} = a$ ]

Therefore, the simplified form of $\sqrt{-144}$ using imaginary unit i is , 12i