Question

Вычислите √25/√49, √16/81, √1000/√250,√36×16, √0,5×50

Answer 1

$\frac{ \sqrt{25} }{ \sqrt{49} } = \frac{5}{7}$
$\frac{ \sqrt{16} }{ \sqrt{81} } = \frac{4}{9}$
$\frac{ \sqrt{1000} }{ \sqrt{250} } = \frac{10 \sqrt{10} }{5 \sqrt{10} } = 2$
$\sqrt{36 \times 16} = 6 \times 4 = 24$
$\sqrt{0.5 \times 50} = \sqrt{5 \times 5} = 5$

Answer 2

5/7, 4/9, 10✓10/5✓10, ✓24, 25✓2

Answer 3

Давайте вычислим данные значения по порядку:

1. √25 / √49: √25 = 5, √49 = 7 √25 / √49 = 5 / 7 ≈ 0.7143

2. √16 / 81: √16 = 4 √16 / 81 = 4 / 81 ≈ 0.0494

3. √1000 / √250: √1000 = √(100 * 10) = 10 * √10 ≈ 10 * 3.1623 ≈ 31.623 √250 = √(25 * 10) = 5 * √10 ≈ 5 * 3.1623 ≈ 15.811 √1000 / √250 ≈ 31.623 / 15.811 ≈ 2

4. √36 × 16: √36 = 6 √36 × 16 = 6 × 16 = 96

5. √0.5 × 50: √0.5 ≈ 0.7071 √0.5 × 50 ≈ 0.7071 × 50 ≈ 35.355

Итак, результаты вычислений: √25 / √49 ≈ 0.7143 √16 / 81 ≈ 0.0494 √1000 / √250 ≈ 2 √36 × 16 = 96 √0.5 × 50 ≈ 35.355