IB Mathematics Analysis And Approaches HL Practice Questions - International Baccalaureate Mathematics Analysis And Approaches Higher Level Exam

Prove by contradiction that sqrt(2) is irrational. Assume sqrt(2) = p/q in lowest terms; what contradiction emerges?

Both p and q must be even, contradicting lowest terms p must equal q q must be zero p must be prime

Correct Answer:

Both p and q must be even, contradicting lowest terms

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