Try to find out how the roots of a complex number (specified by polar coordinates) get calculated. Please also pay attention to the tasks below the worksheet.
1) How many solutions do you get for the second roots? 2) Do you always get as much solutions if you calculate the second roots in the real range of numbers? 3) How many solutions do you get for the third, fourth,... roots? 4) What do you think: how many solutions would you get for the 1000th roots?