what are irrational number? how do they differ from rational numbers? give examples
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Rational Numbers: The real numbers which can be represented in the form of the ratio of two integers, say P/Q, where Q is not equal to zero are called rational numbers. Irrational Numbers: The real numbers which cannot be expressed in the form of the ratio of two integers are called irrational numbers.
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We can represent rational numbers in the form of ratio of two integers(positive or negative), where denominator is not equal to 0. But we cannot express irrational numbers in the same form. The examples of rational numbers are 1/2, 3/4, 11/2, 0.45, 10, etc. The examples of irrational numbers are Pi (π) = 3.14159…., Euler’s Number (e) = (2.71828…), and √3, √2.
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