Question

3) Racionalize os denominadores:
a) 7/√3 elevado a 5
b) 4/√5 elevado a 6

Answer 1

a)   $\frac{7}{(\sqrt{3})^{5}}=\frac{7}{(\sqrt{3})^{2}\times (\sqrt{3})^{2}\times (\sqrt{3})}=\frac{7}{3\times3\sqrt{3}}=\frac{7\sqrt{3}}{9\sqrt{3}\times\sqrt{3}}=\frac{7\sqrt{3}}{9\times3}=\frac{7\sqrt{3}}{27}$

b)   $\frac{4}{(\sqrt{5})^{6}}=\frac{4}{(\sqrt{5})^{2}\times(\sqrt{5})^{2}\times(\sqrt{5})^{2}}=\frac{4}{5\times5\times5}=\frac{4}{25\times5}=\frac{4}{125}$