5: \(=7-4\sqrt{3}+\sqrt{3}-1+2\sqrt{3}\)
\(=6-\sqrt{3}\)
6: \(=\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}-\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)
\(=\sqrt{3}+\sqrt{2}-\sqrt{3}+\sqrt{2}=2\sqrt{2}\)
7: \(=2\cdot7\sqrt{2}-3\cdot2\sqrt{3}-3\cdot3\sqrt{2}+2\cdot3\sqrt{3}+12\)
\(=12+5\sqrt{2}\)
8: \(=\dfrac{\left(6\sqrt{3}-4\sqrt{3}-2\cdot5\sqrt{3}-3\cdot3\sqrt{3}-7\sqrt{3}\right)}{\sqrt{3}}\)
=6-4-2*5-3*3-7
=2-10-9-7
=-8-9-7
=-24
9: \(=2\sqrt{9\cdot5\sqrt{3}}+2\cdot\sqrt{4\cdot5\sqrt{3}}-3\cdot\sqrt{25\sqrt{3}}-\sqrt{49\cdot5\sqrt{3}}\)
\(=6\sqrt{5\sqrt{3}}+4\sqrt{5\sqrt{3}}-15\sqrt{3}-7\sqrt{5\sqrt{3}}\)
\(=3\sqrt{5\sqrt{3}}-15\sqrt{3}\)
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