I am proving that (sqrt)2 |z| >= |Re z| + |Im z|. The professor gave this as an example, but I want to ask something...(adsbygoogle = window.adsbygoogle || []).push({});

Why is it that I can't use this strategy:

-> |Re z| <= |z|

-> |Im z| <= |z|

-> adding corresponding expression yields |Re z| + |Im z| <= 2|z|. (what's wrong here?)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proving on modulus and conjugates

**Physics Forums | Science Articles, Homework Help, Discussion**