Square Root
In mathematics, a square root of a number x is a number r such that r
^{2} = x, or in words, a number r whose square (the result of multiplying the number by itself) is x. Every nonnegative real number x has a unique nonnegative square root, called the principal square root and denoted with a radical symbol as √x. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 × 3 = 9. If otherwise unqualified, "the square root" of a number refers to the principal square root: the square root of 2 is approximately 1.4142.
Square roots often arise when solving quadratic equations, or equations of the form ax
^{2} + bx + c = 0, due to the variable x being squared.
Every positive number x has two square roots. One of them is √x, which is positive, and the other −√x, which is negative. Together, these two roots are denoted ±√x. Square roots of negative numbers can be discussed within the framework of complex numbers. Square roots of objects other than numbers can also be defined.
Square roots of integers that are not perfect squares are always irrational numbers: numbers not expressible as a ratio of two integers. For example, √2 cannot be written exactly as m/n, where n and m are integers. Nonetheless, it is exactly the length of the diagonal of a square with side length 1. This has been known since ancient times, with the discovery that √2 is irrational attributed to Hipparchus, a disciple of Pythagoras.
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Determining The Square Root Of A Monomial Video Clip
Determining The Square Root Of Rational Numbers Video Clip
Determining The Square Root Of Rational Numbers 7 Video Clip
Determining The Square Root Of Rational Numbers 2 Video Clip
Determining The Square Root Of Rational Numbers 5 Video Clip
Determining The Square Root Of Rational Numbers 3 Video Clip
Top Square Root Word Problems

Billy wants to put wire around his garden (#1773)
Billy wants to put wire around his garde... ...f the area of his garden is 620 sq ft. ?
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You want to make a square pillow (#986)
You want to make a square pillow. You ha... ...is the length of one side of the pillow?
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Square Root (#5930)
Lynette is making a square tablecloth fo... ...of fabric does Lynette need to purchase?
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Square Root (#6755)
Margaret is putting a base board around... ...place baseboard around the entire room?
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Square Root (#6140)
You have to find the square root of thre... ...n American history book. What do you do?
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Homework Help Questions
 What is the square root of 12?
 6√xx3=0
 √625
 4<√x<9
 The numbers 1 4 9 16 25 are examples of?
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