- #1

- 13

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could someone please help me out with proving the following:

|z1|^2/|z2|^2 = |z1/z2|^2

...with complex numbers

sorry im not familiar with the coding here yet so i can't write that properly

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- Thread starter Suni
- Start date

- #1

- 13

- 0

could someone please help me out with proving the following:

|z1|^2/|z2|^2 = |z1/z2|^2

...with complex numbers

sorry im not familiar with the coding here yet so i can't write that properly

- #2

arildno

Science Advisor

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Gold Member

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Use that to get the result, alternatively use polar representation of the numbers.

- #3

- 17

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LHS - take modulus of each and keep it aside...i.e., a^2 + b^2 is modulus;

RHS - Rationalise the den. & num., i.e, z1/z2 = (a + jb)*(l - jm)/(l2 + m2);

seperate out the real & imaginary parts...u'll find LHS = RHS...

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