$a)\sqrt{\frac{1}{100}}=\frac{1}{10}\text{bo}{\left(\frac{1}{10}\right)}^2=\frac{1}{100}$  

$b)\sqrt{\frac{9}{16}}=\frac{3}{4}\text{bo}{\left(\frac{3}{4}\right)}^2=\frac{9}{16}$  

$c)\sqrt{\frac{25}{64}}=\frac{5}{8}\text{bo}{\left(\frac{5}{8}\right)}^2=\frac{25}{64}$  

$d)\sqrt{\frac{289}{400}}=\frac{17}{20}\text{bo}{\left(\frac{17}{20}\right)}^2=\frac{289}{400}$  

$e)\sqrt{\frac{16}{49}}=\frac{4}{7}\text{bo}{\left(\frac{4}{7}\right)}^2=\frac{16}{49}$  

$f)\sqrt{\frac{121}{144}}=\frac{11}{12}\text{bo}{\left(\frac{11}{12}\right)}^2=\frac{121}{144}$