alleryThe proof that root 2 is irrational uses the technique of:
AProof by induction
BDirect construction
CRepeated long division
DProof by contradiction
Answer & Solution
Correct answer: D. Proof by contradiction
1. Assume root 2 is rational and coprime a over b.
2. Both a and b turn out even, a contradiction.
3. So root 2 is irrational.
_Source: syllabus Mathematics, Chapter 1, Real Numbers._
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