ВПР 2 №31 Алгебра = ВПТ 7 №31 Математика
Обчисліть:
1. $\sqrt{\frac{0,36\cdot49}{121}};$
2. $\sqrt{\frac{25\cdot100}{81}};$
3. $\sqrt{\frac{1}{16}\cdot\frac{9}{25}};$
4. $\sqrt{\frac{64}{9}\cdot\frac{4}{289}}.$
Розв'язок:
1. $\sqrt{\frac{0,36\cdot49}{121}}=\frac{\sqrt{0,36}\cdot\sqrt{49}}{\sqrt{121}}=$
$= \frac{0,6\cdot7}{11}=\frac{6\cdot7}{110}=\frac{3\cdot7}{55}=\frac{21}{55};$
2. $\sqrt{\frac{25\cdot100}{81}}=\frac{5\cdot10}{9}=\frac{50}{9};$
3. $\sqrt{\frac{1}{16}\cdot\frac{9}{25}}=\frac{1}{4}\cdot\frac{3}{5}=\frac{3}{20};$
4. $\sqrt{\frac{64}{9}\cdot\frac{4}{289}}=\frac{8}{3}\cdot\frac{2}{17}=\frac{16}{51}.$