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# Topic: Square root

 Square root - Wikipedia, the free encyclopedia In mathematics, a square root of a number x is a number whose square (the result of multiplying the number by itself) is x. Square roots of non-perfect squares are always irrational numbers, i.e., numbers not expressible as a ratio of two integers. Thus defined, the square root function is holomorphic everywhere except on the non-positive real numbers (where it isn't even continuous). en.wikipedia.org /wiki/Square_root   (1682 words)

 square root of 2 It was the first number shown to be what is now known as an irrational number (a number that can't be written in the form a/b, where both a and b are integers.) This discovery was made by Pythagoras or, at any rate, by the Pythagorean group that he founded. The square root of 2 is the length of the hypotenuse (longest side) of a right triangle whose other two sides are each one unit long. Squaring each of these numbers gives 1, 36, 1225, 41616, 1413721, 48024900, 1631432881,..., each of which is also a triangular number. www.daviddarling.info /encyclopedia/S/square_root_of_2.html   (334 words)

 PlanetMath: square root The square root operation is left distributive over multiplication and division, but not over addition or subtraction. It is possible to consider square roots in rings other than the integers or the rationals. This is version 20 of square root, born on 2001-11-10, modified 2005-08-24. planetmath.org /encyclopedia/SquareRoot.html   (700 words)

 square root | TutorGig.co.uk Encyclopedia   (Site not responding. Last check: 2007-09-19) Square roots of positive integers are often irrational numbers, i.e., numbers not expressible as a quotient of two integers. The square root symbol (√) was first used during the 16th century. This is incorrect, because the 'principal square root' of www.tutorgig.co.uk /ed/square_root   (1186 words)

 Square root of 2 - Voyager, the free encyclopedia   (Site not responding. Last check: 2007-09-19) The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1. The square root of 2, $\sqrt\left\{2\right\}$, also known as Pythagoras's constant, is the positive real number which, when multiplied by itself, gives the product 2. Geometrically, $\sqrt\left\{2\right\}$ is the length of a diagonal across a square with sides of one unit of length; this follows from Pythagoras' theorem. www.voyager.in /Square_root_of_two   (713 words)

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