Aleams Barra

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Aleams Barra last won the day on December 4 2015

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  1. a dan b rasional

    Salah satu cara: $a-b=(a+\sqrt{ab})-(b+\sqrt{ab})\in \mathbb{Q}$ $(\sqrt{a}+\sqrt{b})^2=(a+\sqrt{ab})+(b+\sqrt{ab})\in \mathbb{Q}$ $(\sqrt{a}+\sqrt{b})^2(\sqrt{a}-\sqrt{b})^2=(a-b)^2$. Akibatnya $(\sqrt{a}-\sqrt{b})^2\in \mathbb{Q}$ $a+b=\frac{1}{2}\left((\sqrt{a}+\sqrt{b})^2+(\sqrt{a}-\sqrt{b})^2\right) \in \mathbb{Q}$ $a=\frac{1}{2}((a+b)+(a-b)$ dan $b=\frac{1}{2}((a+b)-(a-b))$ keduanya rasional.