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Maths-

General

Easy

Question

Find an irrational number between 1 and 3

hint Hint:

Hint:
The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. For example, $square root of 2$ and $square root of 5$ etc. are irrational. If we are asked to determine if a given decimal expansion is rational or irrational and if the given the decimal expansion is non-repeating and non-terminating then the given decimal expansion is irrational.

The correct answer is: 1.2332344…, √2, √3 etc.

a)
1 and 3 both are rational numbers so any decimal between 1 and 3 which is non-repeating and non-terminating is an irrational number. For example, 1.2332344…, , $square root of 2 space end root space comma space square root of 3$ etc. all are irrational numbers between 1 and 3 as they are non-repeating and non-terminating decimals. Here $square root of 2$ and $square root of 3$ are irrational numbers because their decimal expansion is non-repeating and non-terminating.
Final Answer:
Hence, irrational numbers between 1 and 3 are 1.2332344…, $square root of 2$ , $square root of 3$ etc.

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