Prove√2 is Irrational
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Answer:To prove that √2 is an irrational number, we will use the contradiction method.
Let us assume that √2 is a rational number with p and q as co-prime integers and q ≠ 0
⇒ √2 = p/q
On squaring both sides we get,
⇒ 2q2 = p2
⇒ p2 is an even number that divides q2. Therefore, p is an even number that divides q.
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