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number sense video, numbers video, radicals video, rational numbers video, square root video.

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This math video tutorial gives a step by step explanation to a math problem on "Determining The Square Root Of Rational Numbers 2".

Determining the square root of rational numbers 2 video involves number sense, numbers, radicals, rational numbers, square root. The video tutorial is recommended for 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade, and/or 10th Grade Math students studying Algebra, Geometry, Trigonometry, Probability and Statistics, Arithmetic, Basic Math, Pre-Algebra, Pre-Calculus, and/or Advanced Algebra.

The radical symbol is used to indicate the nth root of a number.

A rational number is a number which can be expressed as a ratio of two integers. Non-integer rational numbers (commonly called fractions) are usually written as the vulgar fraction a / b , where b is not zero. a is called the numerator, and b the denominator.

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 non-negative real number x has a unique non-negative 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.

Square roots often arise when solving quadratic equations, or equations of the form ax

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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