Question

Me ajudem é pra amanhã! Racionalize :
A) 4/ √5 + √2
B) 2/ √3 - 1

Answer 1

A)

$\frac{4}{\sqrt{5}+2} \\\\\frac{4(\sqrt{5}-\sqrt{2}) } {(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})} \\\\\frac{4\sqrt{5}-4\sqrt{2} } {\sqrt{5}^{2} -\sqrt{2}^2} \\\\\frac{4\sqrt{5}-4\sqrt{2} } {5 -2} \\\\\frac{4\sqrt{5}-4\sqrt{2} } {3}$

B)

$\frac{2(\sqrt{3}+1) }{(\sqrt{3}-1)\sqrt{3}+1)}\\\\\frac{2(\sqrt{3}+1) }{\sqrt{3}^2-1^2}\\\\\frac{2(\sqrt{3}+1) }{3-1}\\\\\frac{2(\sqrt{3}+1) }{2}\\\\\sqrt{3}+1$