Question

помогите пожалуйста. срочно нужно

Answer 1

Ответ:

а)

$\sqrt{3} \times \sqrt{5} \times \sqrt{15} = \sqrt{3 \times 5 \times 15} = \\ = \sqrt{3 \times 5 \times 3 \times 5} = 3 \times 5 = 15$

б)

Объяснение:

$\sqrt{ \frac{54}{96 \times 25} } = \sqrt{ \frac{9 \times 6}{ 3 \times 4 \times 8 \times {5}^{2} } } = \\ = \sqrt{ \frac{ {3}^{2} \times 6 }{3 \times {2}^{2} \times 8 \times {5}^{2} } } = \frac{3}{2 \times 5} \sqrt{ \frac{6}{8 \times 3} } = \\ = \frac{3}{10} \times \sqrt{ \frac{1}{4} } = \frac{3}{10} \times \frac{1}{2} = \frac{3}{20}$

в)

$\sqrt{ \frac{2}{19} } \times \sqrt{ \frac{242}{19} } = \sqrt{ \frac{2 \times 2 \times 121}{ {19}^{2} } } = \\ = \sqrt{ \frac{ {2}^{2} \times {11}^{2} }{ {19}^{2} } } = \frac{2 \times 11}{19} = \frac{22}{19}$

г)

$\sqrt{10 \frac{5}{7} \times 9 \frac{1}{3} } = \sqrt{ \frac{75}{7} \times \frac{28}{3} } = \\ = \sqrt{25 \times 4} = \sqrt{ {5}^{2} \times {2}^{2} } = \\ = 5 \times 2 = 10$