9514 1404 393
Answer:
20√2
Step-by-step explanation:
It is helpful to know your multiplication facts. For simplifying the radicals, you remove the perfect squares:
[tex]\sqrt{a^2\cdot b}=a\sqrt{b}[/tex]
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[tex]-3\sqrt{18}+5\sqrt{72}-\sqrt{2}=-3\sqrt{3^2\cdot2}+5\sqrt{6^2\cdot2}-\sqrt{2}\\\\=-3\cdot3\sqrt{2}+5\cdot6\sqrt{2}-\sqrt{2}=(-9+30-1)\sqrt{2}\\\\=\boxed{20\sqrt{2}}[/tex]
