Simplificar a expressão [resolvida]
07 abr 2014, 12:29
Mostra que \(\frac{\sqrt{20-4\sqrt{5}}}{8}=\frac{\sqrt{5-\sqrt{5}}}{4}\)
Re: Simplificar a expressão
07 abr 2014, 13:32
Olá 
\(\frac{\sqrt{20-4\sqrt{5}}}{8}\)
\(\frac{\sqrt{4*(5-\sqrt{5}})}{8}\)
\(\frac{\sqrt{4}*\sqrt{5-\sqrt{5}}}{8}\)
\(\frac{2*\sqrt{5-\sqrt{5}}}{8}\)
\(\frac{\sqrt{5-\sqrt{5}}}{4}\)
\(\frac{\sqrt{20-4\sqrt{5}}}{8}\)
\(\frac{\sqrt{4*(5-\sqrt{5}})}{8}\)
\(\frac{\sqrt{4}*\sqrt{5-\sqrt{5}}}{8}\)
\(\frac{2*\sqrt{5-\sqrt{5}}}{8}\)
\(\frac{\sqrt{5-\sqrt{5}}}{4}\)