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1.1 Proof

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Question 65

A theoretical chemist determines that a specific bond length LLL is an irrational number. In a molecular model, they define an effective length EEE by scaling LLL by a known non-zero rational factor κ\kappaκ, such that E=κLE = \kappa LE=κL.

Prove by contradiction that the effective length EEE must be an irrational number.

[5]

1.1 Proof Questions

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