What is the approximate value of the square root of 5?

The square root of 5 is a value that represents a number which, when multiplied by itself, equals 5. To estimate this value, it's helpful to consider the square roots of perfect squares that are close to 5. The perfect squares nearest to 5 are 4 (which is 2 squared) and 9 (which is 3 squared).

Given this, we know that the square root of 5 must fall between 2 and 3. More specifically, since 4 is less than 5 and 5 is less than 9, we can say that the square root of 5 is greater than 2 and less than 3.

To find the approximate value more accurately, one can determine decimal values. The square root of 5 is roughly equal to 2.236. Therefore, rounding this value leads us to conclude that it is approximately 2.23, which corresponds to the choice provided. This makes it the most accurate option among those presented.

This method of estimation and approximation helps in understanding how square roots work and why they fall within specific ranges based on nearby perfect squares.