\(\displaystyle 4^{\tfrac12} \ + \ 4^{\tfrac13} \ + \ 4^{\tfrac14} \ \ \ versus \ \ \ 5\) or, in other symbols, \(\displaystyle \sqrt{4} \ + \ \sqrt[3]{4} \ + \ \sqrt[4]{4} \ \ \ versus \ \ \ 5\) Without using a calculator or computer, please show the steps to determine it. Please hide your solution(s).