Pronunciation: [skwˈe͡ə nˈʌmbə] (IPA) 
The term "square number" is spelled using the phonetic symbols /skwɛər/ for the first word and /ˈnʌmbər/ for the second word. The "s" sound in "square" is followed by a "kw" blend representing the "k" and "w" consonant sounds. The "a" in "square" is pronounced as the vowel sound in "air." The word "number" is pronounced with the stress on the first syllable and the "u" is pronounced as the vowel sound in "up."
A square number is a positive integer that can be obtained by multiplying a particular whole number by itself. In other words, it is the product of an integer when multiplied by itself. For example, 1 is a square number since it is the result of multiplying 1 by 1 (1 × 1 = 1). Similarly, 4 is a square number because 2 multiplied by itself equals 4 (2 × 2 = 4).
Square numbers have a distinctive attribute: when represented visually, they form perfect square shapes. If we were to arrange objects in a square pattern, with an equal number of objects on each side, the total number of objects would be a square number. The name "square number" is derived from this geometrical property.
Square numbers are part of the broader concept of perfect squares, which also encompasses square roots. The square root of a square number is the value that, when squared, results in the original number. For instance, the square root of 25 is 5, since 5 squared is equal to 25 (5 × 5 = 25). Furthermore, square numbers increase exponentially as they progress: 1, 4, 9, 16, 25, and so on. This type of number holds significance in various fields, such as mathematics, geometry, and physics. Square numbers find application in equations, algebraic formulas, visual patterns, and numerous calculations.
The product resulting from any number multiplied into itself; the second power of a number.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The etymology of the word "square number" can be traced back to the Late Latin word "quadratus", which means "square" or "squared". This Latin term is derived from the verb "quadrare", meaning "to make square" or "to fit". The concept of a number being "squared" or forming a square shape led to the term "square number" to describe a number that is the result of multiplying an integer by itself. This term has been used in mathematics for centuries and is still used today to refer to numbers like 4, 9, 16, 25, etc.
