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Maths-

General

Easy

Question

Insert three irrational numbers between $square root of 2$ and $square root of 7$

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: SQRT3 ,SQRT5 , and sqrt6

The approximate value of $square root of 2$ is 1.41421…. and the approximate value of $square root of 7$ is 2.64575…. So any number between 1.41421…. and 2.64575…. and that number is non-repeating and non-terminating is an irrational number. For eg $square root of 3 comma square root of 5 text and end text square root of 6$ are three irrational numbers between
$square root of 2 text and end text square root of 7$ because their decimal expansion is non-repeating and non-terminating.
Final Answer:
Hence, , $square root of 3 comma square root of 5 text and end text square root of 6$ are three irrational numbers between $square root of 2 text and end text square root of 7$

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