Вопрос:

Сравните числа: 6√(1/3) и 1/4 √192.

Ответ:

\[6\sqrt{\frac{1}{3}} = \frac{1}{4}\sqrt{192}\]

\[6\sqrt{\frac{1}{3}} = \sqrt{\frac{36}{3}} = \sqrt{12}\]

\[\frac{1}{4}\sqrt{192} = \sqrt{\frac{192}{16}} = \sqrt{12}\]

\[\sqrt{12} = \sqrt{12}.\]

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