Results 1 to 3 of 3

Math Help - Squaring Complex numbers

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    12

    Squaring Complex numbers

    Hey,

    I'm not sure if i'm porting this thread under the right topic, but i just have a quick question about complex numbers.

    when you square a complex number (eg. z^2; where z=2+4i) can you just solve this by going z*z???

    Thanks,
    Function
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by function View Post
    Hey,

    I'm not sure if i'm porting this thread under the right topic, but i just have a quick question about complex numbers.

    when you square a complex number (eg. z^2; where z=2+4i) can you just solve this by going z*z???

    Thanks,
    Function
    Yes you can.

    z^2=(2+4i)(2+4i)=4+16i+16i^2=4+16i-16=-12+16i
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,400
    Thanks
    1849
    Perhaps function was thinking of |z| which, for a complex number, is \sqrt{zz*} where z* is the complex conjugate of z. For a real number, x, that would be the same as \sqrt{x^2}, but not for a non-real complex number.
    Last edited by mr fantastic; May 19th 2009 at 07:56 AM. Reason: Added [/math] tag
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. raising complex numbers to complex exponents?
    Posted in the Advanced Math Topics Forum
    Replies: 10
    Last Post: March 25th 2011, 11:02 PM
  2. Squaring numbers
    Posted in the Algebra Forum
    Replies: 5
    Last Post: December 29th 2010, 06:36 PM
  3. Replies: 1
    Last Post: September 27th 2010, 04:14 PM
  4. Replies: 2
    Last Post: February 7th 2009, 07:12 PM
  5. Replies: 1
    Last Post: May 24th 2007, 04:49 AM

Search Tags


/mathhelpforum @mathhelpforum