[tex] \sqrt{2} =2 \sqrt{3} ; \\ \sqrt{50} =5 \sqrt{2} ; \\ \sqrt{18}=3 \sqrt{2} ; \\ \sqrt{63}= 3 \sqrt{7}; \\ \sqrt{44}=2 \sqrt{11} . [/tex]
[tex] \sqrt{75} = 5 \sqrt{3} ; \\ \sqrt{128} = 8 \sqrt{2} ; \\ \sqrt{20} =2 \sqrt{5} ; \\ \sqrt{54} =3 \sqrt{6} ; \\ \sqrt{48} = 4 \sqrt{3}. [/tex]
[tex] \sqrt{300} = 10 \sqrt{3} ; \\ \sqrt{147} = 7 \sqrt{3} ; \\ \sqrt{338} = 13 \sqrt{2} ; \\ \sqrt{108} = 6 \sqrt{3} ; \\ \sqrt{192} = 8 \sqrt{3} .[/tex]
[tex] \sqrt{810} = 9 \sqrt{10} ; \\ \sqrt{605} = 11 \sqrt{5} ; \\ \sqrt{153} = 3 \sqrt{17} ; \\ \sqrt{80} = 4 \sqrt{5} ; \\ \sqrt{245} = 7 \sqrt{5} .[/tex]
[tex]\sqrt{5* 3^{3} } = \sqrt{5*27} = \sqrt{135} = 3 \sqrt{15} ; \\ \sqrt{8*10^{4} } = \sqrt{8*10 000}= \sqrt{80 000}= 200 \sqrt{2} ; \\ \sqrt{ 2^{3} * 3^{3} }= \sqrt{8*27} = \sqrt{216} = 6 \sqrt{6}. \\ \sqrt{15* 5^{3} } = \sqrt{15*125} = \sqrt{1875} = 25 \sqrt{3}. \\ \sqrt{ 7^{3} *42} = \sqrt{343*42}= \sqrt{14 406} = 49 \sqrt{6} .[/tex]
[tex] \sqrt{35* 7^{5} } = \sqrt{35*16807} = \sqrt{588245} = 343\sqrt{5} ; \\ \sqrt{ 11^{3}*63} = \sqrt{1331*63} = \sqrt{83853} = 33 \sqrt{77} ; \\ \sqrt{2*14} ) \sqrt{28} = 2\sqrt{7} ; \\ \sqrt{3^{3}* 5^{3} } = \sqrt{27*125} = \sqrt{3375} = 15 \sqrt{15} ; \\ \sqrt{4.9*100} \sqrt{490} =7 \sqrt{10} .[/tex]
