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...nteger''' is a number which is not divisible by any [[Square number|square numbers]] other than 1. In other words, each [[prime number]] that appears in its [ ...>6 = 2\times3</math> is square-free. However, <math>27 = 3^3</math> is not square-free: it is divisible by <math>9 = 3^2</math>, and the power of <math>3 ...

...Only numbers bigger than or equal to [[zero]] have real square roots. The square root of zero is zero. ...] in the square whose side is 1.<ref>{{Cite web|title=Irrationality of the square root of 2.|url=https://www.math.utah.edu/~pa/math/q1.html|access-date=2020- ...

There are a numbers of ways to calculate [[square root]]s of [[number]]s, and even more ways to [[Estimation|estimate]] them. ...ften [[square root]]s are [[Irrational numbers|irrational]]. For example, square root of a nice round [[whole number]] '''28''' is a [[Fraction (mathematics ...

...=mathworld.wolfram.com|language=en}}</ref><ref>{{Cite web|title=Irrational Numbers|url=http://www.learnalberta.ca/content/memg/Division03/Irrational%20Numbers [[File:Square root of 2 triangle.png|thumb|right | √2 is irrational]] ...

...itself. 1, 4, 9, 16 and 25 are the first five [[square (algebra)|square]] numbers. ...iation|exponentiation]]), usually pronounced as "''n'' squared". The name square number comes from the name of the shape; see [[#Properties|below]]. ...

[[File:Square root of 2 triangle.svg|thumb|200px|The square root of 2 is equal to the length of the [[hypotenuse]] of a [[right triangl ...t|language=en-US}}</ref> To be more correct, it is called the '''principal square root of 2''', to tell it apart from the negative version of itself where th ...

...imes 3 = 9</math> and <math>-3 \times -3 = 9</math>). The set of imaginary numbers are sometimes denoted by the letter <math>\mathbb{I}</math>.<ref>{{Cite web ...ay that they are to negative numbers what negative numbers are to positive numbers. If we say "go east by -1 mile", it is the same as if we had said "go west ...

...ay "number", they usually mean "real number". The official symbol for real numbers is a bold '''R''', or a blackboard bold <math>\mathbb{R}</math>.<ref>{{Cite ...ven minus signs (–) so that they are labeled differently from the positive numbers. ...

...ed, such as "multiply by 10" or "multiply any 2-digit numbers", or "square numbers near 50". ...

...ith special properties. The definition of the term is best understood for square matrices that are [[symmetry|symmetrical]], also known as [[Hermitian]] mat ...se]] and be greater than zero. The vector chosen must be filled with real numbers. ...

...real number, we call the result an [[imaginary number]]. Though imaginary numbers can be used to solve a lot of mathematical problems, they cannot be represe ...tin-Louis Cauchy]] and [[Carl Friedrich Gauss]] would prove that imaginary numbers were very important for some areas of [[algebra]]. ...

| colspan="2" | {{numbers (0s)}} | [[Chinese numerals#Negative numbers|Chinese numeral]] || 负一，负弌，负壹 ...

...but in the [[integers]], subtraction does have closure. Subtraction of two numbers can produce a [[negative number]], which is not a natural number, but is an ...ex numbers, the complex numbers are also the algebraic closure of the real numbers. One can express this relationship as <math>\overline{\mathbb{R}}=\mathbb{C ...

..., numbers such as 4, 8, 9.5, 14, and even 14.999 are inside this interval. Numbers such as -4, 2, 3.2, 20, and 15.000001 are not inside this interval. ...eginning number, a comma ( ''',''' ), the end number, and either a closing square bracket ( ''']''' ) or a closing parenthesis ( ''')''' ). Examples of inte ...

...as of the two squares on the legs (''a'' and ''b'') equals the area of the square on the hypotenuse (''c'').]] ...ue square added to the area of the red square makes the area of the purple square. It was named after the [[Ancient Greece|Greek]] mathematician [[Pythagoras ...

...[statistics]], the '''variance''' is a way to measure how far a [[set]] of numbers is spread out. ...om its [[expected value]]. The variance is defined as the average of the [[Square (mathematics)|squares]] of the differences between the individual (observed ...

...as <math>\aleph_0</math>([[Aleph null|aleph-null]])—the first of the aleph numbers.<ref>{{Cite web|date=2020-04-11|title=Comprehensive List of Set Theory Symb ...without missing any. The natural numbers have been nicknamed "the counting numbers", since they are what we usually use to count things with. ...

...-metapost.svg|thumb|This is the graph for <math>y=\sqrt{x}</math>. It is a square root.]] ...www.mathsisfun.com}}</ref> Other values of n are referred to using ordinal numbers, such as ''fourth root'' and ''tenth root''. ...

...form of [[polar coordinates]], where the size of the line is equal to the square root of ''a squared'' plus ''b squared'', and the direction is an angle. ...

...of an [[equilateral triangle]] are two, the height of the triangle is the square root of 3.]] ...to show the difference between the square root of three from the negative square root of three, which has the same property. This number is also known as '' ...