(4) \(\sqrt{13}\)
(1) \(\sqrt{\frac{8}{18}}\) = \(\sqrt{\frac{4}{9}}\) = \(\frac{2}{3}\) is a arational number
(2) \(\frac{7}{3}\) is a rational number
(3) \(\sqrt{0.01}\) = \(\sqrt{\frac{1}{100}}\) = \(\frac{2}{3}\) is a rational number
(4) \(\sqrt{13}\) is not a rational number