Which value corresponds to the square root of 20?

To determine which value corresponds to the square root of 20, we can estimate the square root by considering perfect squares. The perfect squares that are closest to 20 are 16 (4^2) and 25 (5^2). The square root of 16 is 4, and the square root of 25 is 5, indicating that the square root of 20 must be between 4 and 5.

To refine our estimate further, we can calculate the square root of 20 using a calculator or by approximating it mathematically.

The approximate value of the square root of 20 can be found by simplifying it:

√20 = √(4 * 5) = √4 * √5 = 2√5.

Since √5 is approximately 2.236, we multiply:

2 * 2.236 ≈ 4.472.

This approximation closely aligns with the value given in the correct answer, which is around 4.47. Thus, this value accurately reflects the square root of 20, confirming that it is indeed the correct answer.