Question

simplifique a expressão ???

me ajudem por favor ????​

Answer 1

Resposta:

Explicação passo-a-passo:

$\dfrac{\sqrt{3}+1}{\sqrt{3}-1}+\dfrac{\sqrt{3}-1}{\sqrt{3}+1}=\\\\\\mmc(\sqrt{3}+1,\sqrt{3}-1)=(\sqrt{3}+1)(\sqrt{3}-1)\\\\\\=\dfrac{(\sqrt{3}+1)(\sqrt{3}+1)+(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}=\\\\\\=\dfrac{3+2.1.\sqrt{3}+1+3-2.1.\sqrt{3}+1}{3-1}=\dfrac{8}{2}=4$