Results 1 to 2 of 2

Math Help - roots

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    16

    roots

    Explain how you would find the square roots of 5+3i then use the method to find the roots of 5+3i

    Please show all steps!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Peritus's Avatar
    Joined
    Nov 2007
    Posts
    397
    there are 2 ways, one is long and one is short,

    The short one:

    <br />
5 + 3i = \sqrt {34} e^{j\arctan \left( {\frac{3}<br />
{5}} \right)} <br />

    <br />
 \Rightarrow \sqrt {5 + 3i}  = \sqrt[4]{{34}}e^{j\frac{1}<br />
{2}\arctan \left( {\frac{3}<br />
{5}} \right)}  = \sqrt[4]{{34}}\left[ {\cos \left( {\frac{1}<br />
{2}\arctan \left( {\frac{3}<br />
{5}} \right)} \right) + j\sin \left( {\frac{1}<br />
{2}\arctan \left( {\frac{3}<br />
{5}} \right)} \right)} \right]

    and of course the second root:


    <br />
\sqrt[4]{{34}}e^{j\frac{{\arctan \left( {\frac{3}<br />
{5}} \right) + 2\pi }}<br />
{2}} <br />
    Last edited by Peritus; April 14th 2008 at 02:00 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. roots
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 24th 2010, 03:50 AM
  2. Roots & Imaginary Roots
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: October 4th 2009, 10:24 AM
  3. roots
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: April 29th 2009, 06:27 AM
  4. Roots ><
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 7th 2008, 09:49 AM
  5. Given 2 imaginary roots find other 2 roots
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 26th 2008, 10:24 PM

Search Tags


/mathhelpforum @mathhelpforum