VCE Specialist Maths Practice Questions - VCE Specialist Mathematics (Units 3 & 4) Exam

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When proving by contradiction that sqrt(3) is irrational, we assume sqrt(3) = p/q where p and q are integers with no common factors. Squaring gives p^2 = 3q^2. What is the immediate deduction about p?

p is a multiple of 3 p is odd p is a prime number p is equal to 3

Correct Answer:

p is a multiple of 3

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