- #1

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## Homework Statement

Let Z and W be complex numbers. If /Z/ and /W/ are rational and /W-Z/ is rational, then

/(1/Z)-(1/W)/ is rational.

## Homework Equations

## The Attempt at a Solution

How do I represent Z and W as rational complex numbers?

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- Thread starter halvizo1031
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- #1

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Let Z and W be complex numbers. If /Z/ and /W/ are rational and /W-Z/ is rational, then

/(1/Z)-(1/W)/ is rational.

How do I represent Z and W as rational complex numbers?

- #2

Fredrik

Staff Emeritus

Science Advisor

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And it's |z|, not /z/.

- #3

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How do I represent Z and W as rational complex numbers?

It isn't Z and W that are rational, it is their magnitudes |Z| and |W|.

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