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

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