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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.. The usual notation for the square of a number n is not the product n × n, but the equivalent exponentiation n 2, usually pronounced as "n squared".


A perfect square is a number that can be expressed as the product of two equal integers. Examples of perfect squares. 9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers) 25


4, 9, 16, 25 and 36 are some of the perfecr squares as their square roots are exactly 2, 3, 4, 5 and 6. Perfect squares are no. whose square roots don’t have any ...


In this lesson, you'll learn what perfect squares are and view a few examples of them. You'll also discover the formula for creating perfect squares.


Scroll down the page for examples and solutions of factoring Perfect Square Trinomials. Perfect Square Trinomials. In some cases recognizing some common patterns in the trinomial will help you to factor it faster. For example, we could check whether the trinomial is a perfect square. A perfect square trinomial is of the form: (ax) 2 + 2abx + b 2


For example, 2 is the square of a number known as the square root of 2; 3 is the square of a number known as the square root of 3; etc. The "perfect squares" are the squares of integers. That ...


If two terms in a binomial are perfect squares separated by subtraction, then you can factor them. To factor the difference of two perfect squares, remember this rule: if subtraction separates two squared terms, then the sum and the difference of the two square roots factor the binomial. For example ...


Taking the square root (principal square root) of that perfect square equals the original positive integer. Example: √ 9 = 3 Where: 3 is the original integer. Note: An integer has no fractional or decimal part, and thus a perfect square (which is also an integer) has no fractional or decimal part. ( Perfect Squares List from 1 to 10,000.


Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².


Learn how to factor quadratics that have the "perfect square" form. For example, write x²+6x+9 as (x+3)².