what is the square root of 2

The square root of 2 is a positive real number that, when multiplied by itself, equals the number 2. It is represented using the square root symbol √ and written as √2, whose value is approximately 1.414. The square root of 2 is an irrational number, which means it cannot be expressed as a fraction and has an infinite number of decimals. Its exact value cannot be determined, but it is an algebraic number and not a transcendental number. Geometrically, the square root of 2 is the length of a diagonal across a square with sides of one unit of length, which follows from the Pythagorean theorem.