prove that ✓2 is an irrational number ??
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To prove that √2 is an irrational number, we will use the contradiction method. ⇒ p2 is an even number that divides q2. ... Since p and q both are even numbers with 2 as a common multiple which means that p and q are not co-prime numbers as their HCF is 2.
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To prove that √2 is an irrational number, we will use the contradiction method. ⇒ p2 is an even number that divides q2. Therefore, p is an even number that divides q. ... This leads to the contradiction that root 2 is a rational number in the form of p/q with p and q both co-prime numbers and q ≠ 0.
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