[tex]\sqrt{3\frac{1}{5} } =\sqrt{\frac{3*5+1}{5} } =\sqrt{\frac{16}{5} } =\frac{4}{\sqrt{5} } =\frac{4\sqrt{5} }{5}[/tex]
[tex]\sqrt{0,8(3)} =\sqrt{\frac{83-8}{90} } =\sqrt{\frac{75}{90} } =\sqrt{\frac{5}{6} } =\frac{\sqrt{30} }{6}[/tex]
[tex]\sqrt{10\frac{2}{3} } =\sqrt{\frac{10*3+2}{3} } =\sqrt{\frac{32}{3} } =\frac{4\sqrt{2} }{\sqrt{3} } =\frac{4\sqrt{6} }{3}[/tex]
[tex]\sqrt{\frac{81}{24} } =\frac{9}{2\sqrt{6} } =\frac{9\sqrt{6} }{2*6} =\frac{3\sqrt{6} }{4}[/tex]
[tex]\sqrt{\frac{27}{2} } =\frac{3\sqrt{3} }{\sqrt{2} } =\frac{3\sqrt{6} }{2}[/tex]
[tex]\sqrt{\sqrt{\frac{400}{121} } } =\sqrt{\frac{20}{11} } =\frac{2\sqrt{5} }{\sqrt{11} } =\frac{2\sqrt{55} }{11}[/tex]
[tex]\sqrt{\frac{a^2b}{b^3c} } =\sqrt{\frac{a^2}{b^2c} } =\frac{|a|}{b\sqrt{c} } =\frac{|a|*\sqrt{c} }{b\sqrt{c}*\sqrt{c} } =\frac{|a|*\sqrt{c} }{bc}[/tex]
