Question

racionalize a raiz 4/√7-√3

Answer 1

Resposta:

$\sqrt{7}+\sqrt{3}$

Explicação passo-a-passo:

$\frac{4}{\sqrt{7}-\sqrt{3} } =\frac{4.(\sqrt{7}+\sqrt{3})}{(\sqrt{7}-\sqrt{3})(\sqrt{7}+\sqrt{3})} =\frac{4.(\sqrt{7}+\sqrt{3}) }{\sqrt{49}-\sqrt{9} } } =\frac{4.(\sqrt{7}+\sqrt{3})}{7-3} =\frac{4.(\sqrt{7}+\sqrt{3})}{4} =\sqrt{7}+\sqrt{3}$