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Question

Identify the integer(s) whose square root lies between 2 and 3.

A
5
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B
6
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C
7
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D
8
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Solution

The correct option is D 8
Let the required integer be m
Given: 2<m<3

On squaring both sides of the inequality, we get:
4<m<9

The integers which lie between 4 and 9 are 5,6,7 and 8.

Apply the perfect square method.

Let's take 7 as an example.

4<7<9
(taking square root throughout the inequality)
4<7<9
2<7<3

7 lies between 2 and 3.
Similarly, 5,6 and 8 lies between 2 and 3.

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