perfect square definition
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- Definition of Perfect Square. Perfect square is a number that has a rational number as its square root. 1  49 is a perfect square as 49 = 72.  The following are few more examples of perfect squares.
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- square noun [ C ] (SHAPE) › geometry a flat shape with four sides of equal length and four angles of 90°, or an area or object having this shape. square noun [ C ] (PLACE) › a small area of open land in a city or town, often one in the shape of a square.
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Square number In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.
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- In economics and general equilibrium theory, a perfect market is defined by several conditions, collectively called perfect competition .
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- If a triangle is a right triangle, then the sumof the squares…. A set of nonzero whole numbers that satisfy the pythagorean th…. If the sum of the squares of athe lenghts of two sides of at r…. In a 45-45-90 triangle, both legs are congruent and the length….
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- 1 Thread(s) Re: R-squared value meaning R-squared is a measure of the goodness of fit of the trendline to the data. A value of 1 is a perfect fit. Please test any code on a copy of your workbook.
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- Find the least square number exactly divisible by each one of the numbers 8, 12, 15, 20. Find the square root of: 7. 9126441 8. 63409369 9. Find the least number that must be subtracted from 7581 to obtain a perfect square.
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Perfect number Perfect number. Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. The discovery of such numbers is lost in prehistory.
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- Examples of Perfect Square. 1  49 is a perfect square as 49 = 72. 2  The following are few more examples of perfect squares. .  Perfect Square trinomial: Trinomials of the form a2 ± 2ab + b2, which can be expressed as squares of binomials are called perfect square trinomials.
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Powers, Exponents, and Roots The square root of a number is the number that, when squared (multiplied by itself), is equal to the given number. For example, the square root of 16, denoted 161/2 or, is 4, because 42 = 4×4 = 16. The square root of 121, denoted, is 11, because 112 = 121.
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Square (unit) This article is about a definite unit of area. For various units named square ___, see square (algebra). The square is an Imperial unit of area that is used in the United States construction industry, and was historically used in Australia. One square is equal to 100 square feet. Examples where the unit is used are roofing shingles, metal roofing, vinyl siding, and fibercement siding products. Some home builders use squares as a unit in floor plans to customers.
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What is the least perfect square divisible by 8 9 10 and how? So the perfect square must be a multiple of the lcm of 8, 9 & 10 = 23 x 32 x 5 to be divisible by all three numbers.
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- In mathematics, a square root of a number a is a number y such that y2 = a; in other words, a number y whose square (the result of multiplying the number by itself, or y⋅y) is a. For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16.
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Square Square. 1  A square is a regular quadrilateral. 2  All angles are equal (90°). 3  All sides are of equal length. 4  Opposite sides are parallel. 5  The diagonals bisect each other at 90°.6  The diagonals are equal in length.arallelogram. 1  Diagonally opposite angles are equal. 2  Opposite sides are of equal length. 3  Opposite sides are parallel. 4  The diagonals bisect each other.
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Perfect square Perfect square. Perfect square is an element of algebraic structure which is equal to the square of another element. Square number, a perfect square integer.
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square [corner] definition, square [corner] meaning | English dictionary square root. n. 1. (Mathematics) a number or quantity that when multiplied by itself gives a given number or quantity: 2 is a square root of 4, usually written √4 or 41/2. n.
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Square number Square number. In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.
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- Number 6 is A Perfect Number. The Pythagoreans acknowledged number 6 to be the first perfect number. In mathematics a perfect number is when all the numbers divisors (excluding the number itself) are added, the sum equals the number itself. In addition when including the number itself and dividing by two the result is the number itself.
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- More examples. 1  Cut the pastry into a square and turn in the corners. 2  A square is a regular quadrilateral. 3  A square has four right angles.  Just before midnight, the square filled up with drunken 1  revellers. In the square in front of the hotel stands a monument to all the people killed in the  war.
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- Define root-mean-square: the square root of the arithmetic mean of the squares of a set of numbers the square root of the arithmetic mean of the squares of a set of numbers… See the full definition
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perfect square perfect square. The number four is a perfect square. The definition of a perfect square is a number that is the result of a number multiplied by itself. An example of a perfect square is 4, because 4 can be reached by multiplying 2 times 2. perfect square. perfect square.
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Perfect number This works with all perfect numbers 2 p−1 (2 p − 1) with odd prime p and, in fact, with all numbers of the form 2 m−1 (2 m − 1) for odd integer (not necessarily prime) m. Owing to their form, 2 p−1 (2 p − 1), every even perfect number is represented in binary as p ones followed by p − 1 zeros:
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- In recreational mathematics, a magic square is a n × n {\displaystyle n\times n} square grid (where n {\displaystyle n} is the number of cells on each side) filled with distinct positive integers in the range 1 , 2 , . . . , n 2 {\displaystyle 1,2,...,n^{2}} such that each cell contains a different integer and the sum of the integers in each row, ...
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magic square A square that contains numbers arranged in equal rows and columns such that the sum of each row, column, and sometimes diagonal is the same. n. A similar square containing letters in particular arrangements that spell out the same word or words. n. A palindromic square word arrangement, usually in the form of a magic amulet. n. An n-by-n arrangement of n2 numbers such that the numbers in each row, in each column and along both diagonals all have the same sum.
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Perfect numbers Today the usual definition of a perfect number is in terms of its divisors, but early definitions were in terms of the 'aliquot parts' of a number. An aliquot part of a number is a proper quotient of the number. So for example the aliquot parts of 10 are 1, 2 and 5.
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How do you find the square root? The Square Root of a number is the number that, when multiplied by itself (aka squared) gives you the original number. The square root of 144 is 12, because 12 x 12 = 144.