Johnny, a 15 year old male from Mississauga asks on October 10, 2003,

In math class, my teacher has been frequently making references to what I've mentally labelled, as "imaginary numbers". Interestingly, he's explained to us that in our level of mathematics, while completing the square and finding roots of certain trinomials, one can end up with the square root of a negative number. He explained that in this case, we can substitute this "number" with the variable, "i". He referred to it as part of a group of numbers called 2-D numbers and he has also been making references to Complex Number Fields and other such number fields. My question is: what exactly are 2-d Numbers? What is the Complex Number Fields? And what are examples of such other "fields"?viewed 14909 times

Imaginary numbers really do exist. You can do a google search on the terms you are wondering about to find out more. For instance here is a site at the University of Toronto with a great explanation of imaginary numbers.

Note: All submissions are moderated prior to posting.

If you found this answer useful, please consider making a small donation to science.ca.

- Canadian Nuclear Safety Commission Educational Resources
- National Inventors Hall of Fame
- JUMP Math
- Society for Canadian Women in Science and Technology
- SciQuest e-Solutions for Science
- Natural Sciences and Engineering Research Council of Canada
- Manning Awards for Innovation
- Royal Society of Canada
- Geological Survey of Canada
- Canadian Networks of Centres of Excellence
- Canadian Landscapes at Natural Resources Canada
- Canadian Association of Physicists
- A Century of Innovation
- Understanding Science
- AlphaGalileo
- National Film Board of Canada Youth Science
- PICS Climate Insights 101
- Canadian Association for Girls in Science
- Virtual Library for the History of Science
- The Chemical Institute of Canada
- Canadian Biotechnologist 2.0
- ISI Highly Cited Scientists
- Deep River Science Academy
- Journal of the History of Canadian Science
- Wikipedia
- Innovation Canada
- Mars Society
- Nobel Prize Archive
- science.gc.ca
- Online Science & Engineering Encyclopedia
- CurioCity
- Canadian Nuclear FAQ
- Association of Science Communicators
- Astrofiles
- Wilderness Astronomy