Question

Arrange the following numbers in order from least to greatest: 2∏, 6, √42, √34.

a. √34, 6, 2∏, √42
b. 6, 2∏, √34, √42
c. √34, 6, √42, 2∏
d. 2∏, 6, √34, √42

Answer 1

The correct answer is option c, which orders the numbers as √34, 6, 2π, and √42 from least to greatest after approximating their values.

Step-by-step explanation:

The correct answer is option c. To arrange the numbers from least to greatest, we should compare their approximate or exact values. Here are the numbers evaluated:

• 2π ≈ 6.28
• 6 ≈ 6
• √42 ≈ 6.48
• √34 ≈ 5.83

With these approximations, the numbers in order from least to greatest are √34, 6, 2π, √42. This corresponds to option c: √34, 6, √42, 2π.

When arranging numbers from least to greatest, we start with the smallest number and move towards the largest. To compare these numbers, we can approximate the values using a calculator:

2∏ is approximately 6.28 (since ∏ is approximately 3.14, multiplying by 2 gives 6.28).

√34 is approximately 5.83 (since the square root of 36 is 6, and 34 is less than 36).

√42 is approximately 6.48 (since the square root of 49 is 7, and 42 is less than 49).

6 is already in its simplified form.

Based on these approximations, the correct order is √34, 6, √42, 2∏.