Question

восьме завдання 1


Срочно

Answer 1

Відповідь:

Пояснення:

1) $\frac{15}{\sqrt{5}}=\frac{15}{\sqrt{5}}*\frac{\sqrt{5}}{\sqrt{5}} =\frac{15\sqrt{5}}{5}=3\sqrt{5}$

2) $\frac{8}{\sqrt{6}+\sqrt{2}}=\frac{8}{\sqrt{6}+\sqrt{2}}*\frac{\sqrt{6}-\sqrt{2}}{\sqrt{6}-\sqrt{2}}=\frac{8(\sqrt{6}-\sqrt{2})}{(\sqrt{6}+\sqrt{2})(\sqrt{6}-\sqrt{2})}=\frac{8(\sqrt{6}-\sqrt{2})}{\sqrt{6}^{2}-\sqrt{2}^{2}}=\frac{8(\sqrt{6}-\sqrt{2})}{6-2}=\frac{8(\sqrt{6}-\sqrt{2})}{4}=2(\sqrt{6}-\sqrt{2})=2\sqrt{6}-2\sqrt{2}$