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1 2 Squared As a Fraction

1 2 3 4 5 6 7 8 9 10 11 12 13 14 … Now, what do you have when you do the same thing over and over again?

Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.

An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers. (Source: www.calculator.net)

The operation of the square root of a number was already known in antiquity. The earliest clay tablet with the correct value of up to 5 decimal places of √2 = 1.41421 comes from Babylonia (1800 BC - 1600 BC). Many other documents show that square roots were also used by the ancient Egyptians, Indians, Greeks, and Chinese. However, the origin of the root symbol √ is still largely speculative. If you're looking for the square root graph or square root function properties, head directly to the appropriate section (just click the links above!). There, we explain what is the derivative of a square root using a fundamental square root definition; we also elaborate on how to calculate square roots of exponents or square roots of fractions. Finally, if you are persistent enough, you will find out that square root of a negative number is, in fact, possible. In that way, we introduce complex numbers which find broad applications in physics and mathemat.

The first use of the square root symbol √ didn't include the horizontal "bar" over the numbers inside the square root (or radical) symbol, √‾. The "bar" is known as a vinculum in Latin, meaning bond. Although the radical symbol with vinculum is now in everyday use, we usually omit this overline in the many texts, like in articles on the internet. The notation of the higher degrees of a root has been suggested by Albert Girard who placed the degree index within the opening of the radical sign, e.g., ³√ or â´√. (Source: www.omnicalculator.com)