Is an Irrational Number a Real Number Is an Irrational Number a Real Number

The best way of understanding is every irrational number a real number or the best answer for the query that is an irrational number a real number is mention below. Friends first we discuss about the real number. Real number are those which are countable as 1,2,3,4&& We can say that it is not necessary that every irrational number a real number. We take some example of irrational number that is not real number. The numbers are: 2, ?nbsp; But we can also say that an irrational number is any real number that is not a rational number. Irrational number cannot be expressed as a fractions or non repeating decimal. We assuming that square root of -1 is not a real number. These number are not multiplied by itself .so we can say that square root of any negative is not a real number. But in some situation the set of irrational number is real number. Since they can be represented as a decimal number. Know More About Rational Numbers Properties Worksheet

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If decimal number in not in repeating pattern they are still real number. So if we have an irrational number, it is also a real number. In above articles it is proving that all irrational number is not a real number. What are irrational Numbers Irrational numbers are the numbers which are not rational numbers. In other words we can say that any number that cannot be expressed in the form of p/q are termed as irrational numbers. If any floating point number (that is a number that has an integer part as well as an decimal part is termed as floating point number.) cannot expressed as the ratio of two integers that floating point number is termed as irrational numbers. Let us take some of the examples of Irrational numbers Now if we take the value of “ pi (π ) “ that is π = 3.1415926535897932384626433832795 This value of π is impossible to express as the simple ratio of two numbers or two integers instead. Thus the value of π is an irrational number. Let us take some more examples to clearly get an image about the irrational numbers Let us take a value 3.2. Now 3.2 is not an irrational number, it is a rational number as 3.2 can be expressed as a ratio of two integers that is A square root of every non perfect square is an irrational number and similarly, a cube root of non-perfect cube is also an example of the irrational number. When we multiply any two irrational numbers and the result is rational number, then each of these irrational numbers is called rationalizing factor of the other one. Read More About Rational Number Properties Worksheet

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Here is a general irrational number which is frequently used in mathematics. “Pi” is a best example of an irrational number. The value of 'pi' is solved to over one million decimal places and still there is no pattern found. What are Rational and Irrational Numbers ? When we deal Rational and Irrational numbers, the first question arise in our mind is that what are rational and irrational numbers? Rational numbers are those numbers which can be represented as fraction means having numerator and denominator and both in integer form. Let’s take some examples of rational numbers: 1. 5 is a rational number because it has 1 in its denominator and can be written as 5/1. 2. 2/3 is also a rational number. Now, the next part of the same question i.e. what are irrational numbers? Irrational numbers are those which can be represented as a fraction i.e. numbers except rational numbers. They can only be represented as decimal number. An irrational numbers has non- repeating and endless numbers after the decimal. Let’s have a look on the irrational number examples: pi = 3.141592….. sqrt( 2 ) = 1.414213……. Generally, we do not use irrational numbers in our daily life but they exist on the number line somewhere between 0 and 1. There exists infinite number of irrational numbers. Usually irrational numbers are arises from the square root operations.

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Is an Irrational Number a Real Number

Published on Apr 4, 2012

We assuming that square root of -1 is not a real number. These number are not multiplied by itself .so we can say that square root of any ne...

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