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Verified answer

[tex]1) \frac{18}{3(\sqrt{3})^{2} } = \frac{6}{3} = \frac{2}{1}=2 \\\\2)\sqrt{\frac{4}{25} }- \sqrt{\frac{36}{81} } = \frac{2}{5} - \frac{6}{9} = \frac{2}{5}-\frac{2}{3} = \frac{6-10}{15} =-\frac{4}{15}\\\\3)(\sqrt{6}-3)(\sqrt{6}+3) = 6-9=-3\\\\4)(5+\sqrt{7})^{2}= 25+10\sqrt{7}+7=32+10\sqrt{7}\\\\5) 1.5\sqrt{0.04} - \frac{3}{5} \sqrt225} = 1.5*0.2-0.6*15=0.3-9=-8.7\\\\6) 3\sqrt{128}-5\sqrt{2} +2\sqrt{32} =3\sqrt{64*2} - 5\sqrt{2}+2\sqrt{16*2} =\\ =24\sqrt{2}-5\sqrt{2}+8\sqrt{2}=27\sqrt{2}\\\\[/tex]

[tex]7)\sqrt{7}*\sqrt{28}= \sqrt{196}=14\\\\8) \sqrt{2^6*5^4} = 2^3*5^2=8*25=200[/tex]