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Mathematics

Grade-8

Easy

Question

Guess the irrational numbers that lies between 3 and 5?

$\sqrt{7} and \sqrt{8}$
$\sqrt{8} and \sqrt{10}$
$\sqrt{10} and \sqrt{11}$
$\sqrt{24} and \sqrt{26}$

hint Hint:

Irrational numbers refer to those numbers that cannot be represented as a simple fraction.

The correct answer is: $square root of 10 space and space square root of 11$

GIVEN-
Given numbers- 3 and 5
TO FIND-
Irrational numbers between the given numbers from the given options
SOLUTION-
We know that-
3 = √(33) = √9 ...................................... (m = √m √m)
5 = √(55) = √25 ...................................... (m = √m √m)
Hence, we need to find irrational numbers that are between √9 and √25.
From the given options, option a satisfies this condition.
FINAL ANSWER-
Option 'a' i.e. '√10 and √11' is the correct answer to the given question.

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