Which of the following represents the square root of 2?

The square root of 2 is a fundamental mathematical constant that approximately equals 1.414. This value arises when you take the square root of 2, denoting a number that, when multiplied by itself, yields 2.

Mathematically, √2 is an irrational number, which means it cannot be expressed as a simple fraction. However, its decimal approximation is often used in various applications, particularly in geometry and engineering, where the diagonal of a square with unit sides equals the square root of 2. The significance of this value extends to calculations involving right triangles and trigonometry, reflecting its wide-ranging role in technical fields.

The other choices provided do not represent the square root of 2. A value of 0.414 represents the square root of a lesser number (specifically, the square root of 0.171), while 0.707 is actually the approximate value of the square root of 1/2. "31412" is a large integer that has no relevance to the square root of 2, as it does not fit within the context of square roots of numbers near 2. Thus, identifying 1.414 as the correct representation of the square root of 2 is essential for