[tex]5\sqrt{8}-2\sqrt{32}=5\sqrt{4\cdot2}-2\sqrt{16\cdot2}=5\cdot\sqrt{4}\cdot\sqrt{2}-2\cdot\sqrt{16}\cdot\sqrt{2}=\\\\=5\cdot2\sqrt{2}-2\cdot4\sqrt{2}=10\sqrt{2}-8\sqrt{2}=2\sqrt{2}[/tex]
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[tex]5\sqrt{8}-2\sqrt{32}=5\sqrt{4\cdot2}-2\sqrt{16\cdot2}=5\cdot\sqrt{4}\cdot\sqrt{2}-2\cdot\sqrt{16}\cdot\sqrt{2}=\\\\=5\cdot2\sqrt{2}-2\cdot4\sqrt{2}=10\sqrt{2}-8\sqrt{2}=2\sqrt{2}[/tex]