What is the approximate value of √3?

To determine the approximate value of the square root of 3, we can refer to common approximations and calculations. The square root of a number is a value that, when multiplied by itself, gives the original number. For 3, we're looking for a number that satisfies the equation ( x^2 = 3 ).

The actual value of √3 is approximately 1.732. When looking at the choices provided, option C, which is 1.72, is the closest and most accurate approximation without exceeding the true value.

Understanding how to approximate square roots is useful in many mathematical contexts, such as in geometry or when working with roots and powers. In this case, recognizing that the value approximately equals 1.732 enables us to confirm that 1.72 is a reasonable rounding. The other options provide values that are either too low or slightly higher than the true square root, making them less accurate in this context.