6) -15√192 = -1,5 * √12 * 16 = -1,5 * √3,0,4 = -7√0,3 * 0,2 = -1,4203 7) 3/√109 = 3√109/109 8) 3√98/7 = 3 * 7√2 / 7 = 3√2 9) 10-1 = 9

Решение:

1. \(-15\sqrt{192} = -15 \cdot \sqrt{64 \cdot 3} = -15 \cdot 8 \sqrt{3} = -120\sqrt{3}\)
2. \( \frac{3}{\sqrt{109}} = \frac{3 \cdot \sqrt{109}}{\sqrt{109} \cdot \sqrt{109}} = \frac{3\sqrt{109}}{109} \)
3. \( \frac{3\sqrt{98}}{7} = \frac{3\sqrt{49 \cdot 2}}{7} = \frac{3 \cdot 7\sqrt{2}}{7} = 3\sqrt{2} \)
4. \( 10 - 1 = 9 \)

Ответ: 1) \(-120\sqrt{3}\), 2) \(\frac{3\sqrt{109}}{109}\), 3) \(3\sqrt{2}\), 4) 9.