Start Matlab and type the following: (don't type >> that should be the Matlab prompt)

>> z = -2 - 0.1*i
>> [real(z), imag(z)]
>> [abs(z), angle(z)]
>> z2=conj(z)
>> [abs(z2), angle(z2)]
>> [log(z), log(z2)]
>> (2+3*i)^(6+2*i)
>> figure(1), cplxroot(2)
>> z=cplxgrid(30);
>> figure(2), cplxmap(z,sqrt(z))
>> figure(3), cplxmap(z,sqrt(i*z))
>> figure(4), cplxmap(z,sqrt(-z))

OK, you typed it all, but of course you want to digest the results. Do they make sense to you? What's Matlab doing?

Go on, explore on your own, or try

>> cplxdemo