Question

Simplify the number using the imaginary unit i.

Answer 1

See what is the square root of 144??

Answer 2

12

Answer 3

Yes so first step is to write 12..

But answer is not complete yet..

Answer 4

so is it 12i

Answer 5

In case the sqaure root is negative then after taking the root just multiply \(i\) to the answer so what you get now??

Answer 6

Can you tell me what is the value of \(i\) in general??

Answer 7

no

Answer 8

is it 12

Answer 9

12 is the square root of 144..

Answer 10

so the answer would be 144i

Answer 11

Yes it will be the answer..

Answer 12

See, the value of \(i\) is given by:

\[\huge \color{green}{i = \sqrt{-1}}\]

Answer 13

I will tell you how it came:

\[\large \color{green}{\sqrt{-144} = \sqrt{(-1) \times 144}={\sqrt{-1} \times \sqrt{144}} = i \times 12 = 12i}\]