$a)\sqrt{1600}=\sqrt{{40}^2}=40$  

$b)\sqrt{12100}=\sqrt{121\cdot 100}=\left({11}^2\cdot {10}^2\right)=\sqrt{{\left(11\cdot 10\right)}^2}=\sqrt{{110}^2}=110$  

$c)\sqrt{10000}=\sqrt{{100}^2}=100$  

$d)\sqrt{\frac{4}{25}}=\sqrt{{\left(\frac{2}{5}\right)}^2}=\frac{2}{5}$  

$e)\sqrt{\frac{36}{49}}=\sqrt{{\left(\frac{6}{7}\right)}^2}=\frac{6}{7}$  

$f)\sqrt{\frac{169}{400}}=\sqrt{{\left(\frac{13}{20}\right)}^2}=\frac{13}{20}$  

$g)\sqrt{\frac{196}{9}}=\sqrt{{\left(\frac{14}{3}\right)}^2}=\frac{14}{3}=4\frac{2}{3}$   

$h)\sqrt{1\frac{24}{25}}=\sqrt{\frac{49}{25}}=\sqrt{{\left(\frac{7}{5}\right)}^2}=\frac{7}{5}=1\frac{2}{5}$   

$i)\sqrt{5\frac{4}{9}}=\sqrt{\frac{49}{9}}=\sqrt{{\left(\frac{7}{3}\right)}^2}=\frac{7}{3}=2\frac{1}{3}$

$j)\sqrt{2\frac{46}{49}}=\sqrt{\frac{144}{49}}=\sqrt{{\left(\frac{12}{7}\right)}^2}=\frac{12}{7}=1\frac{5}{7}$  

$k)\sqrt{3\frac{1}{16}}=\sqrt{\frac{49}{16}}=\sqrt{{\left(\frac{7}{4}\right)}^2}=\frac{7}{4}=1\frac{3}{4}$  

$l)\sqrt{0,09}=\sqrt{{\left(0,3\right)}^2}=0,3$  

$m)\sqrt{0,0004}=\sqrt{{\left(0,02\right)}^2}=0,02$  

$n)\sqrt{1,44}=\sqrt{{\left(1,2\right)}^2}=1,2$  

$o)\sqrt{0,0169}=\sqrt{\frac{169}{10000}}=\sqrt{{\left(\frac{13}{100}\right)}^2}=\frac{13}{100}=0,13$  

$p)\sqrt{\frac{18}{98}}=\sqrt{\frac{9}{49}}=\frac{3}{7}$  

$r)\sqrt{\frac{20}{180}}=\sqrt{\frac{2}{18}}=\sqrt{\frac{1}{9}}=\frac{1}{3}$

$s)\sqrt{1\frac{18}{32}}=\sqrt{\frac{50}{32}}=\sqrt{\frac{25}{16}}=\frac{5}{4}=1\frac{1}{4}$  

$t)\sqrt{2\frac{7}{28}}=\sqrt{\frac{63}{28}}=\sqrt{\frac{9}{4}}=\frac{3}{2}=1\frac{1}{2}$  

$u)\sqrt{1\frac{22}{50}}=\sqrt{\frac{72}{50}}=\sqrt{\frac{36}{25}}=\frac{6}{5}=1\frac{1}{5}$