anonymous 5 years ago (a) What is [- sqrt(144)]? (b) What is [sqrt(- 144)]? I think it is -12, but donot know (b)

1. anonymous

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

2. anonymous

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

3. anonymous

[- sqrt(144)] = -12

4. anonymous

[sqrt(- 144)] = 12 i

5. anonymous

the first one is real but the second is imaginary

6. anonymous

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

7. anonymous

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

8. anonymous

yes every sqrt(-number) = imaginary number

9. anonymous

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

10. anonymous

given that the number inside the radical is negative