Explain how irrational number is differ from rational numbers? - Vidyadip

Question

Explain how irrational number is differ from rational numbers?

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Answer

An irrational number is a real number which can be written as a decimal but not as a fraction i.e. it cannot be expressed as a ratio of integers. It cannot be expressed as terminating or repeating decimal. For example, $0.10110100$ is an irrational number. A rational number is a real number which can be written as a fraction and as a decimal i.e. it can be expressed as a ratio of integers. It can be expressed as terminating or repeating decimal. For examples, $0.10$ and $0.\bar{4}$ both are rational numbers.

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