14. Найдите значение выражения: 14.1. \((\sqrt{8}+\sqrt{2})\cdot\sqrt{2}\); 14.2. \((\sqrt{12}+\sqrt{3})\cdot\sqrt{3}\); 14.3. \((\sqrt{32}+\sqrt{2})\cdot\sqrt{2}\); 14.4. \((\sqrt{27}+\sqrt{3})\cdot\sqrt{3}\); 14.5. \((\sqrt{48}+\sqrt{3})\cdot\sqrt{3}\).

1. \[(\sqrt{8}+\sqrt{2})\cdot\sqrt{2}=\sqrt{16}+\sqrt{4}=4+2=6.\]

2. \[(\sqrt{12}+\sqrt{3})\cdot\sqrt{3}=\sqrt{36}+\sqrt{9}=6+3=9.\]

3. \[(\sqrt{32}+\sqrt{2})\cdot\sqrt{2}=\sqrt{64}+\sqrt{4}=8+2=10.\]

4. \[(\sqrt{27}+\sqrt{3})\cdot\sqrt{3}=\sqrt{81}+\sqrt{9}=9+3=12.\]

5. \[(\sqrt{48}+\sqrt{3})\cdot\sqrt{3}=\sqrt{144}+\sqrt{9}=12+3=15.\]

Ответ: 14.1 — 6; 14.2 — 9; 14.3 — 10; 14.4 — 12; 14.5 — 15.