Question

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

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

Answer 1

Olá, Boyprodgy.

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

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