[tex]4+ \frac{22-16}{25-16} = \\\\ 4 + \frac{6}{9} =\\\\4 + \frac{2}{3}
=\\\\ \boxed{\bf{4.67}}[/tex]
Using the ratio of perfect squares
method, the square root of 22 rounded to the nearest hundredth is 4.67
Hope this helps!! If you have any other questions or would like further explanation just let me know!! :)