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Maths-

General

Easy

Question

Find an irrational number between 1 and 4

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, $square root of 2 space end root$ 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: sqrt3,sqrt7,sqrt 10

1 and 4 both are rational numbers so any decimal between 1 and 4 which is non-repeating and non-terminating is an irrational number. For example, , $square root of 3 comma square root of 7 comma square root of 10$ , etc. all are irrational numbers between1 and 4 because their decimal expansion is non-repeating and non-terminating.
Final Answer:
Hence, irrational numbers between 1 and 4 are $square root of 3 comma square root of 7 comma square root of 10$ etc.

Related Questions to study

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parallel

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Show that $square root of 3$ - $square root of 2$ is an irrational number.

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Ramesh earns Rs. 40000 per month. He spends $2 over 5$ of his income on food, $5 over 12$ of the remaining on education of children and $3 over 7$ of the remainder on the house rent. How much money is still left with him?

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