Rect. and Polar with complex numbers

[krnhseya]

Homework Statement

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

Homework Equations

n/a

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?

 

[chroot]

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

- Warren

 

[krnhseya]

magnitude of B = sqrt(4^2 + (-2)^2)
and use tangent to find the angle.

but i am asked to find square root.

 

[chroot]

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

 

[krnhseya]

...?

 

[krnhseya]

sorry but last 2 posts don't 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

 

[N468989]

look here http://en.wikipedia.org/wiki/Square_root

in Square roots of negative and complex numbers.