1. Найдите значение корня: 1) a) \( \sqrt{\frac{49}{64}} \); 6) \( \sqrt{\frac{81}{100}} \); 2) a) \( \sqrt{\frac{3}{25}} \); 6) \( \sqrt{\frac{46}{49}} \); B) \( \sqrt{\frac{1}{9}} \); r) \( \sqrt{\frac{36}{121}} \).

Решение:

1. \( \sqrt{\frac{49}{64}} = \frac{\sqrt{49}}{\sqrt{64}} = \frac{7}{8} \)
2. \( \sqrt{\frac{81}{100}} = \frac{\sqrt{81}}{\sqrt{100}} = \frac{9}{10} \)
3. \( \sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3} \)
4. \( \sqrt{\frac{36}{121}} = \frac{\sqrt{36}}{\sqrt{121}} = \frac{6}{11} \)
5. \( \sqrt{\frac{3}{25}} = \frac{\sqrt{3}}{\sqrt{25}} = \frac{\sqrt{3}}{5} \)
6. \( \sqrt{\frac{46}{49}} = \frac{\sqrt{46}}{\sqrt{49}} = \frac{\sqrt{46}}{7} \)

Ответ: 1) а) \(\frac{7}{8}\); б) \(\frac{9}{10}\); в) \(\frac{1}{3}\); г) \(\frac{6}{11}\); 2) а) \(\frac{\sqrt{3}}{5}\); б) \(\frac{\sqrt{46}}{7}\).