square root of -1/121?

Answer 1

-i/11 and i/11.

Answer 2

The square root of a negative number is complex (involving i).

121 is a perfect square, ie 11^2.

So the answer is i/11.

Answer 3

In the set of complex numbers, there are 2 square roots of -1/121
i/11 and -i/11

If the problem has -1/121 under a square root sign, then the answer is i/11

In the set of real numbers, it would not exist.

Answer 4

Square root of a negative number

√- 1/121 =

i/11

- - - - - - - - - - - - - - - - s-

Answer 5

j/11 and -j/11 where j is the sqrt of (-1).

(engineers use j for the imaginary root !)

also written as +/-(1/11)e^(j*pi/2).

Now when you express the roots this way (as points on the unit circle on the real-imaginary plane) then one can see that there are infinite numbers of roots that will be the answer.

They are of the form
(1/11)e^(j*pi/2+n*pi) for n= 0,1...infinity

Answer 6

-1/11

Answer 7

i/11

Answer 8

i/11

Answer 9

i/11

Answer 10

i/11

Answer 11

i/11