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Rect. and Polar with complex numbers

  1. Apr 3, 2008 #1
    1. The problem statement, all variables and given/known data

    B= 4-j2. Find [tex]\sqrt{B}[/tex] in rectangular and polar notation.

    2. Relevant equations

    n/a

    3. The attempt at a solution

    i can figure out that in rectangular form by using the calculator and converting those back into polar form but how can i do this without calculator?
     
  2. jcsd
  3. Apr 3, 2008 #2

    chroot

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    When you multiply two complex numbers together, their magnitudes are multiplied and their angles are added.

    - Warren
     
  4. Apr 3, 2008 #3
    magnitude of B = sqrt(4^2 + (-2)^2)
    and use tangent to find the angle.

    but i am asked to find square root.
     
  5. Apr 3, 2008 #4

    chroot

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    You're looking for a complex number, the square root of B. You know that if you multiply the square root of B by itself, you get B. Find the complex number that, when multiplied by itself (using the "rule" I have already given you), results in B.

    - Warren
     
  6. Apr 3, 2008 #5
    ...?
     
  7. Apr 3, 2008 #6
    sorry but last 2 posts dont help me at all;
    it's quite obvious that sqrt(b) ^2 = b...and i know how to find magnitude and angle once i get it in forms of X + yj
     
  8. Apr 30, 2008 #7
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