Вопрос:

Сравните числа: 4√(3/8) и 1/5 √150.

Ответ:

\[4\sqrt{\frac{3}{8}} = \frac{1}{5}\sqrt{150}\]

\[4\sqrt{\frac{3}{8}} = \sqrt{\frac{3 \cdot 16}{8}} = \sqrt{6};\]

\[\frac{1}{5}\sqrt{150} = \sqrt{\frac{150}{25}} = \sqrt{6};\]

\[\sqrt{6} = \sqrt{6}.\]

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