Упростите выражение: а) √8p − √2p + √18p; б) √160c + 2√40c − 3√90c; в) 5√27m − 4√48m − 2√12m; г) √54 − √24 + √150; д) 3√2 + √32 − √200; е) 2√72 − √50 − 2√8.

1. а) \(\sqrt{8p}-\sqrt{2p}+\sqrt{18p}=2\sqrt{2p}-\sqrt{2p}+3\sqrt{2p}=4\sqrt{2p}\).
2. б) \(\sqrt{160c}+2\sqrt{40c}-3\sqrt{90c}=4\sqrt{10c}+4\sqrt{10c}-9\sqrt{10c}=-\sqrt{10c}\).
3. в) \(5\sqrt{27m}-4\sqrt{48m}-2\sqrt{12m}=15\sqrt{3m}-16\sqrt{3m}-4\sqrt{3m}=-5\sqrt{3m}\).
4. г) \(\sqrt{54}-\sqrt{24}+\sqrt{150}=3\sqrt{6}-2\sqrt{6}+5\sqrt{6}=6\sqrt{6}\).
5. д) \(3\sqrt{2}+\sqrt{32}-\sqrt{200}=3\sqrt{2}+4\sqrt{2}-10\sqrt{2}=-3\sqrt{2}\).
6. е) \(2\sqrt{72}-\sqrt{50}-2\sqrt{8}=12\sqrt{2}-5\sqrt{2}-4\sqrt{2}=3\sqrt{2}\).

Ответ: а) \(4\sqrt{2p}\); б) \(-\sqrt{10c}\); в) \(-5\sqrt{3m}\); г) \(6\sqrt{6}\); д) \(-3\sqrt{2}\); е) \(3\sqrt{2}\).