Answer:
Option C is correct.
12i
Step-by-step explanation:
Simplify: [tex]\sqrt{-144}[/tex]
we can write 144 as;
[tex]144 = 12 \times 12 = 12^2[/tex]
Also,
[tex]i^2 = -1[/tex] where i is the imaginary unit.
then;
[tex]\sqrt{-144} =\sqrt{144 \times i^2} = \sqrt{12^2 \times i^2} = 12i[/tex] [∴[tex]\sqrt{a^2} = a[/tex] ]
Therefore, the simplified form of [tex]\sqrt{-144}[/tex] using imaginary unit i is , 12i
