Упростите выражение (3- корень из 2)^2

Ответ:

\[\ \left( 3 - \sqrt{2} \right)^{2} = 9 - 6\sqrt{2} + 2 = 11 - 6\sqrt{2}\]

\[7\sqrt{\frac{1}{7}} > \frac{1}{2}\sqrt{20}\]

\[49 \cdot \frac{1}{7} > \frac{1}{4} \cdot 20\]

\[7 > 5.\]

\[\ \frac{6 + \sqrt{6}}{\sqrt{30} + \sqrt{5}} = \frac{\sqrt{6}\left( \sqrt{6} + 1 \right)}{\sqrt{5}\left( \sqrt{6} + 1 \right)} = \frac{\sqrt{6}}{\sqrt{5}} = \sqrt{\frac{6}{5}} =\]

\[= \sqrt{1,2}\]