History Of Irrational Numbers History Of Irrational Numbers In mathematics, a number system plays a role of blood in the mathematical body. A number system can be considered as a mathematical object which is popularly used for counting and measurement. In the category of numbers we generally include different kinds of numbers that helps in understanding the definition of number. Generally, in the number system we talk about the some of the popular numbers like whole number, natural number, fractional number, rational and irrational number and so on. These are the numbers that play an important role to solve the problem form the ancient time. It means to say that when the requirement generated then different concepts of mathematics are included in the number system. Here we are going to discussing about the history of irrational numbers. Irrational Know More About Antiderivative Of Secxtanx
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numbers are type of number system that can be defined as a opposite of rational numbers. Rational numbers are those numbers that looks like a fractional number but in rational number the value of denominator must not be equal to zero. In the same aspect, a number that can’t be expressed in a form of fraction like x / y then that number can be consider as a irrational number. From the different aspect of mathematician it was assumed that the concept of irrational number was implemented and accepted by the great Indian mathematicians in the seventh century BC. This time consider as a period of Manava, when almost all the mathematician believed that the square roots of two and 61 are not possible to exactly determine. The basic reason behind the implementation of irrational number is that when the problem of square root of 2 arises in the Pythagorean calculation of triangle. According to the mathematical language irrational number can be define as a number when there is a no possibility to define the number in the form of simple faction. They can’t be express in the form of repeated sequence of decimal or in the form of terminating decimal. In the mathematical world, there are some of the popular examples of irrational numbers are specified that are given below: a) √2: Square root of 2 is the one of the most popular example of irrational number because this a number that can’t be expressed in the form of fractional Read More About Antiderivative Of Log
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number and the decimal value of √2 which is equal to the value of 1.4142135623 contains not any repeated decimal sequence and this sequence goes infinite without any ending point. Basically square root is the main reason for inventing the concept of irrational number because there are some numbers in mathematics that can’t be expressed in the form of rational numbers and so on. b) ∏ : This symbol popularly known as pi. This is another most popular example of irrational number. This is another popular concept of mathematics that helps in solving the various problems that are related to the concept of circle. According to the mathematical definition the value of pi is equal to the 3.14159265358. In the given value of pi we can see that there is no any repeating decimal sequence and no hope to reach the infinite point. Basically the value of pi can be represented in form of fractional as 22 / 7.
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