Question

Racionalize os denominadores.
a) 4/raiz quadrada de 15
b) 9/raiz quadrada de 6
c) 6/5 raiz quadrada de 22
d) 8/10 + raiz quadrada de 3

Answer 1

$a) \\ \\ \dfrac{4}{ \sqrt{15} } \\ \\ \\ \dfrac{4 * \sqrt{15} }{ \sqrt{15} * \sqrt{15} } \\ \\ \\ \dfrac{4 * \sqrt{15} }{ ( \sqrt{15})^2} } \\ \\ \\ => \dfrac{4 * \sqrt{15} }{ 15} }$

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$b) \\ \\ \dfrac{9}{ \sqrt{6} } \\ \\ \\ \dfrac{9 * \sqrt{6} }{ \sqrt{6} * \sqrt{6} } \\ \\ \\ \dfrac{9 * \sqrt{6} }{ ( \sqrt{6})^2} } \\ \\ \\ \dfrac{9 * \sqrt{6} }{6}} \\ \\ \\ \dfrac{3 * \sqrt{6} }{2}}$

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$d) \\ \\ \dfrac{8}{10} + \sqrt{3} \\ \\ \\ \dfrac{4}{5} + \sqrt{3}$

mmc  = 5

$=> \dfrac{4 + 5 \sqrt{3} }{5}$