Chapter 10 - Radical Functions and Equations - 10.4 - Inverse of a Function - Exercises - Page 573: 48

$s=\frac{2\sqrt[4]{3267}}{3}$

$$A=\frac{\sqrt3 s^2}{4}$$ Solve for $s$: $$s^2=\frac{4A}{\sqrt3}$$ $$s=\frac{2\sqrt A}{\sqrt[4]{3}}$$ For $A=11$ $$s=\frac{2\sqrt {11}}{\sqrt[4]{3}}=\frac{2\sqrt[4]{11^2\cdot 3^3}}{3}=\frac{2\sqrt[4]{3267}}{3}$$