[tex]a)\\\\\sqrt{64}=8\\\sqrt{144}=12\\\sqrt{196}=14\\\sqrt{22500}=\sqrt{15*15*10*10}=15*10=150\\\sqrt{484}=22\\\sqrt{625}=25\\\sqrt{40000}=\sqrt{4*100*100}=2*100=200\\\sqrt{9000000}=\sqrt{9*1000*1000}=3*1000=3000\\\sqrt{\sqrt{16}}=\sqrt4=2[/tex]
[tex]b)\\\\\sqrt{0.25}=\sqrt{\frac14}=\frac12=0.5\\\sqrt{0.09}=\sqrt{\frac9{100}}=\frac3{10}=0.3\\\sqrt{0.0036}=\sqrt{\frac{36}{10000}}=\frac6{100}=0.06\\\sqrt{0.000081}=\sqrt{\frac{81}{1000000}}=\frac{9}{1000}=0.009\\\sqrt{2.56}=\sqrt{\frac{256}{100}}=\frac{16}{10}=1.6\\\sqrt{5.76}=\sqrt{\frac{576}{100}}=\frac{24}{10}=2.4\\\sqrt{1.69}=\sqrt{\frac{169}{100}}=\frac{13}{10}=1.3\\\sqrt{20.25}=\sqrt{\frac{2025}{100}}=\frac{45}{10}=4.5\\\sqrt{\sqrt{625}}=\sqrt{25}=5[/tex]
[tex]c)\\\sqrt{\frac49}=\frac23\\\sqrt{\frac{16}{25}}=\frac45\\\sqrt{\frac9{49}}=\frac37\\\sqrt{\frac{25}{81}}=\frac59\\\sqrt{\frac{100}{169}}=\frac{10}{13}\\\sqrt{\frac{121}{225}}=\frac{11}{15}\\\sqrt{\frac{16}{169}}=\frac4{13}\\\sqrt{\frac{25}{64}}=\frac58\\\sqrt{\sqrt{\frac{16}{625}}}=\sqrt{\frac4{25}}=\frac25[/tex]
[tex]d)\\\sqrt{6\frac14}=\sqrt{\frac{25}4}=\frac52=2\frac12\\\sqrt{1\frac79}=\sqrt{\frac{16}9}=\frac43=1\frac13\\\sqrt{3\frac1{16}}=\sqrt{\frac{49}{16}}=\frac74=1\frac34\\\sqrt{2\frac2{49}}=\sqrt{\frac{100}{49}}=\frac{10}7=1\frac37\\\sqrt{1\frac{11}{25}}=\sqrt{\frac{36}{25}}=\frac65=1\frac15\\\sqrt{14\frac1{16}}=\sqrt{\frac{225}{16}}=\frac{15}4=3\frac34\\\sqrt{30\frac14}=\sqrt{\frac{121}4}=\frac{11}2=5\frac12\\\sqrt{5\frac49}=\sqrt{\frac{49}9}=\frac73=2\frac13\\[/tex]
[tex]\sqrt{\sqrt{3\frac{13}{81}}}=\sqrt{\sqrt{\frac{256}{81}}}=\sqrt{\frac{16}{9}}=\frac43=1\frac13[/tex]
