To find out the **greatest** among the number given below:

$3^{1/3}, 2^{1/2}, 6^{1/6}, 1, 7^{1/7}$

I have plotted the following graph using graph plotter which is shown below:
[![enter image description here](https://i.stack.imgur.com/WVBwz.png)](https://i.stack.imgur.com/WVBwz.png)

It can be concluded that $3^{1/3}$ is the greatest.
I want to know that is there any other method to find **greatest** among the such numbers.