[tex]\\3\sqrt{27\sqrt3}=3\sqrt{9*3\sqrt3}=3*3*3^{\frac12}*3^{\frac14}=3^{2\frac34}=3^{\frac{11}{4}}[/tex]
3√(27√3) = 3√(3³ * 3¹/²) = 3 * (3⁷/²)¹/² = 3 * 3⁷/⁴ = 3¹¹/⁴