Question

Alguem sabe fazer essas contas Pfvr:
Faça a racionalizaçao das seguinte expressoes:
a) 4/RAiz de 2-6
B) 2/5-RAIZ de 3
C)7/RAIZ de 3-Raiz de 2
D)12 e RAIZ de 3/Raiz de 7+6
E)12\9+Raiz de 7

Answer 1

a)
$\dfrac{4}{ \sqrt{2} } - 6 \\ \\ \\ 2 \sqrt{2} - 6$

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b)
$\dfrac{2}{5}- \sqrt{3} \\ \\ \\ \dfrac{2 \sqrt{5} -5\sqrt{3}} { \sqrt{5} } \\ \\ \\ => \dfrac{2 +5\sqrt{3}}{5}$

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c)

$\dfrac{7}{ \sqrt{3} } - \sqrt{2} \\ \\ \\ \dfrac{7 \sqrt{3} - \sqrt{2} \sqrt{3}}{ \sqrt{3} } \\ \\ \\ => \dfrac{7 \sqrt{3} - 3\sqrt{2}}{3}$

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d)
$\dfrac{12 \sqrt{3} }{ \sqrt{7} + 6} \\ \\ \\ \dfrac{ 6 * 12 \sqrt{3} - 12\sqrt{3} \sqrt{7}}{ \sqrt{7} + 6} \\ \\ \\ => \dfrac{ 72\sqrt{3} - 12\sqrt{3} \sqrt{7}}{ 29}$

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e)
$\dfrac{12}{9} + \sqrt{7} \\ \\ \\ \dfrac{12+ 9 \sqrt{7}}{9} \\ \\ \\ => \dfrac{4+ 3 \sqrt{7}}{3}$