## yokie 4 years ago (a) What is [- sqrt(144)]? (b) What is [sqrt(- 144)]? I think it is -12, but donot know (b)

1. uyqn

$\sqrt{-144}=12i$ as it becomes imaginary if you take the root of a negative number.

b) is 12i where i is iota ...but its a complex no.

3. raheen

[- sqrt(144)] = -12

4. raheen

[sqrt(- 144)] = 12 i

5. raheen

the first one is real but the second is imaginary

6. yokie

So [sqrt(- 144)] must not be a real number?

7. penpen29

$-\sqrt{144}=-12$$\sqrt{-144}=12i$

8. raheen

yes every sqrt(-number) = imaginary number

9. penpen29

if you will get the nth root of a number wherein n is even,the answer is an imaginary number

10. penpen29

given that the number inside the radical is negative