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I had a few doubts in mind. Please help.

1) Is -15 the L.C.M. of -5 and -3?

2) Can all complex numbers be plotted in a number line.

3) 1^(1/3)= 1, ω, ω^2,

where ω= -(1/2)+i[3^(1/2)/2]

Then, if we plot these 3 values along a number line, will we get 3 different points or will it be the same point?

4) I don't get the use of complex numbers. I mean, they don't even exist, right? Isn't that why we write √-1=i ?

1) Is -15 the L.C.M. of -5 and -3?

2) Can all complex numbers be plotted in a number line.

3) 1^(1/3)= 1, ω, ω^2,

where ω= -(1/2)+i[3^(1/2)/2]

Then, if we plot these 3 values along a number line, will we get 3 different points or will it be the same point?

4) I don't get the use of complex numbers. I mean, they don't even exist, right? Isn't that why we write √-1=i ?

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