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___ numbers.

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Solution

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. $\sqrt{2}, \sqrt{3}$ are examples of irrational numbers.

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The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of pq ( q is not equal to '0') are known as___ 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. √2, √3 are examples of irrational numbers.

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___ 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. $\sqrt{2}, \sqrt{3}$ are examples of irrational numbers.