Question

racionalize 1 sobre 2 raiz de 5, 3 sobre 10 raiz de 2 , 3 sobre 2 raiz de 10 , 6 sobre raiz de 3

Answer 1

$\dfrac{1}{ \sqrt{5}} \\ \\ \\ \dfrac{1 * \sqrt{5}}{ \sqrt{5}* \sqrt{5} } \\ \\ \\ \dfrac{ \sqrt{5}}{ \sqrt{5}^2} \\ \\ \\ => \dfrac{ \sqrt{5} }{5}$

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$\dfrac{3}{10 \sqrt{2} } \\ \\ \\ \dfrac{3* \sqrt{2}}{10 \sqrt{2}*10 \sqrt{2}} \\ \\ \\ \dfrac{3* \sqrt{2}}{10 \sqrt{2}^2} \\ \\ \\ \dfrac{3* \sqrt{2}}{10 *2} \\ \\ \\ => \dfrac{3 \sqrt{2}}{20}$

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$\dfrac{3}{ 2\sqrt{10} } \\ \\ \\ \dfrac{3 *2\sqrt{10} }{2\sqrt{10}*2\sqrt{10}} \\ \\ \\ \dfrac{6\sqrt{10} }{8*5} \\ \\ \\ => \dfrac{3 \sqrt{10} }{20}$

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$\dfrac{6}{ \sqrt{3} } \\ \\ \\ \dfrac{6 \sqrt{3} }{ \sqrt{3}* \sqrt{3}} \\ \\ \\ \dfrac{6 \sqrt{3} }{3} \\ \\ \\ => 2 \sqrt{3}$