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Year 12 Maths Extension 2 (2027) Proof

Proof of Inequalities

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Questions
Question 1
19608

Prove that, for real numbers \(a \neq b\): \[\frac{{{a^2} + {b^2}}}{2} > {\left( {\frac{{a + b}}{2}} \right)^2}\]

True

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