Question
A rational number between 
and 
- 1.9
- 1.5
- 1.8
Hint:
1. Rational numbers refer to those numbers that can be represented as a simple fraction.
The correct answer is: 1.5
GIVEN-
Given numbers- √2 & √3
TO FIND-
Rational numbers between the given numbers from the given options
SOLUTION-
We know that-
(√2)2 = 2 &
(√3)2 = 3
Hence, we need to find rational numbers whose squares are between 2 and 3.
We will follow the elimination method to find the correct answer from the given options-
a. (√2. √3) / 2
[(√2. √3) / 2]2
= [(√2.3) / 2]2 .................................. (√m * √n = √mn)
= [(√6) / 2]2
= (√6)2 / (2)2 ................................... [(m/n)2 = m2/n2]
= 6 / 4
= 1.5
b. 1.9
(1.9)2 = 3.61
c. 1.5
(1.5)2 = 2.25
d. 1.8
(1.8)2 = 3.24
From the above calculations, the only number whose square is between 2 & 3 is option c i.e. 1.5.
FINAL ANSWER-
Option 'c' i.e. '1.5' is the correct answer to the given question.
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