The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of $\frac{p}{q}$ ( q is not equal to '0') are known as ______.

irrational numbers

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rational numbers

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imaginary numbers

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None of the above

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Solution

The correct option is A irrational numbers
An irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. Therefore, irrational numbers, when written as decimal numbers, do not terminate, nor do they repeat. $\sqrt{2}, \sqrt{3}, \sqrt{5}$ are examples of irrational numbers.

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