By assuming $\displaystyle 0<\sqrt{5}-2<\frac{1}{4}$ , deduce that the difference between $\displaystyle (\sqrt{5}+2)^5$ and an integer is less than $\displaystyle \frac{1}{1024}$
By assuming $\displaystyle 0<\sqrt{5}-2<\frac{1}{4}$ , deduce that the difference between $\displaystyle (\sqrt{5}+2)^5$ and an integer is less than $\displaystyle \frac{1}{1024}$