What is the approximate value of the square root of 8?

What is the approximate value of the square root of 8?

• A. 2.73
• B. 2.83
• C. 2.93
• D. 3.13

Answer: (B)

To find the approximate value of the square root of 8, we can start by recalling that the square root of a number is the value that, when multiplied by itself, gives that number. The value of the square root of 8 can be simplified by recognizing that \(8\) can be broken down into \(4 \times 2\). Therefore, the square root of \(8\) can be expressed as: \[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2 \times \sqrt{2}. \] Next, we know that the square root of \(2\) is approximately \(1.414\). Therefore, multiplying this by \(2\) gives us: \[ 2 \times \sqrt{2} \approx 2 \times 1.414 \approx 2.828. \] This value is very close to \(2.83\), making option B the best choice. Since \(2.828\) rounds to \(2.83\), it clearly represents the most accurate approximation of the square root of 8 among the given options. Thus, B accurately reflects this calculation

To find the approximate value of the square root of 8, we can start by recalling that the square root of a number is the value that, when multiplied by itself, gives that number. The value of the square root of 8 can be simplified by recognizing that (8) can be broken down into (4 \times 2). Therefore, the square root of (8) can be expressed as:

[

\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2 \times \sqrt{2}.

]

Next, we know that the square root of (2) is approximately (1.414). Therefore, multiplying this by (2) gives us:

[

2 \times \sqrt{2} \approx 2 \times 1.414 \approx 2.828.

]

This value is very close to (2.83), making option B the best choice. Since (2.828) rounds to (2.83), it clearly represents the most accurate approximation of the square root of 8 among the given options. Thus, B accurately reflects this calculation