Question

Explain, how irrational numbers differ from rational numbers?

Answer 1

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Difference between irrational or rational numbers

Rational Number is defined as the number which can be written in a ratio of two integers.

An irrational number is a number which cannot be expressed in a ratio of two integers.

The rational number includes only those decimals, which are finite and repeating. Conversely, irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern.

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number.Hence, the given number is irrational.

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Answer 2

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❤.Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.

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