Simplifique:a)b).... Pergunta de ideia deBoyprodgy

Boyprodgy @Boyprodgy

April 2020 1 151 Report

Simplifique:
a) $\frac{3}{ \sqrt{7}+2 }=$

b) $\frac{5}{2 \sqrt{3}-1} =$

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Celio

Verified answer

Olá, Boyprodgy.

$a)\,\,\frac{3}{ \sqrt{7}+2 }=\frac{3}{ \sqrt{7}+2 }\cdot\frac{\sqrt{7}-2}{\sqrt{7}-2}=\frac{3(\sqrt7-2)}{7-4}=\frac{3(\sqrt7-2)}{3}=\sqrt7-2$

$b)\,\,\frac{5}{2 \sqrt{3}-1} =\frac{5}{2 \sqrt{3}-1} \cdot \frac{2 \sqrt{3}+1}{2 \sqrt{3}+1}=\frac{5(2 \sqrt{3}+1)}{4\cdot3-1}=\frac{10\sqrt3+5}{11}$

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