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Line 8: }} The '''square root of 2''' (approximately 1.~~4142~~4142135) is a positive [[real number]] that, when multiplied by itself or squared, equals the [[number 2]]. It may be written in mathematics as <math>\sqrt{2}</math> or <math>2^{1/2}</math>. It is an [[algebraic number]], and therefore not a [[transcendental number]]. Technically, it should be called the principal [[square root]] of 2, to distinguish it from the negative number with the same property. Geometrically, the square root of 2 is the length of a diagonal across a [[Unit square\|square with sides of one unit of length]]; this follows from the [[Pythagorean theorem]]. It was probably the first number known to be [[irrational number\|irrational]].<ref>{{citation

Square root of 2: Difference between revisions