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In proving √5 as irrational, we begin with assumption √5 is rational in which type of proof?

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In proving √5 as irrational, we begin with assumption √5 is rational in which type of proof?

(a) Direct proof

(b) Proof by Contradiction

(c) Vacuous proof

(d) Mathematical Induction

This question was posed to me in class test.

This key question is from Types of Proofs in chapter The Foundation: Logics and Proofs of Discrete Mathematics

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The correct answer is (b) Proof by Contradiction

Easiest explanation: Definition of proof by contradiction.

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