Question

Срочно Дам Сто Баллов.Упростите выражение. Обьясните все выражения.

Answer 1

Ответ:

8

Объяснение:

$\displaystyle\frac{7}{\sqrt{2}+3 }+\frac{14}{4+\sqrt{2} } -\frac{7}{1-2\sqrt{2} } =\\\\\\=\frac{7(\sqrt{2}-3)}{(\sqrt{2}+3)(\sqrt{2}-3)}+\frac{14(4-\sqrt{2})}{(4+\sqrt{2})(4-\sqrt{2})} -\frac{7(1+2\sqrt{2})}{(1-2\sqrt{2})(1+2\sqrt{2}) } =\\\\\\=\frac{7(\sqrt{2}-3)}{2-9}+\frac{14(4-\sqrt{2})}{16-2} -\frac{7(1+2\sqrt{2})}{1-8 } =\\\\\\=-\sqrt{2} +3+4-\sqrt{2} +1+2\sqrt{2} =8$