8) √11·√27 / √33;

Question

Решение:

\( \frac{\sqrt{11} \cdot \sqrt{27}}{\sqrt{33}} = \frac{\sqrt{11 \cdot 27}}{\sqrt{33}} = \sqrt{\frac{11 \cdot 27}{33}} = \sqrt{\frac{11 \cdot 3^3}{3 \cdot 11}} = \sqrt{3^2} = 3 \)

Ответ: 3

Accepted Answer

Решение:

\( \frac{\sqrt{11} \cdot \sqrt{27}}{\sqrt{33}} = \frac{\sqrt{11 \cdot 27}}{\sqrt{33}} = \sqrt{\frac{11 \cdot 27}{33}} = \sqrt{\frac{11 \cdot 3^3}{3 \cdot 11}} = \sqrt{3^2} = 3 \)

Ответ: 3