the square root of 196
the square root of 169
the square root of 16
the square root of 13
the square root of 12

What is the square root of 2?

The square root of 2, often written as √2, is a positive real number that, when multiplied by itself, equals 2.

  • Value: Its numerical value, truncated to 6 decimal places, is approximately 1.414214. The decimal%20representation of √2 is infinite and non-repeating, making it an irrational number.

  • Irrationality: √2 is a classic example of an irrational%20number. Its irrationality was supposedly discovered by Hippasus of Metapontum, a Pythagorean. The proof of its irrationality often involves proof by contradiction.

  • Algebraic Number: √2 is an algebraic%20number, specifically a root of the polynomial equation x² - 2 = 0.

  • Geometric Significance: Geometrically, √2 is the length of the diagonal of a square with sides of length 1. This relationship is a direct consequence of the Pythagorean%20theorem. It also represents the ratio between the diagonal and a side of a square.

  • Trigonometry: In trigonometry, √2 appears in the values of certain trigonometric functions for angles of 45 degrees (π/4 radians). For instance, sin(45°) = cos(45°) = 1/√2 = √2/2.

the square root of 20
the square root of 225
the square root of 25
the square root of 256
the square root of 36
the square root of 4
the square root of 40
the square root of 400
the square root of 49
the square root of 5
the square root of 50
the square root of 6
the square root of 64
the square root of 7
the square root of 8