Question

racionalize o denominador da expressão 1 + √2 / √5

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Answer 1

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$\sf{\dfrac{1+\sqrt{2}}{\sqrt{5}}=\dfrac{(1+\sqrt{2})}{\sqrt{5}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}~~\implies\\\sf{\dfrac{1+\sqrt{2}}{\sqrt{5}}=\dfrac{\sqrt{5}+\sqrt{10}}{5}}$