[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
Let me know if you need anymore help, or need further explanation! :)