Question

MULTIPLE CHOICE QUESTIONS (MCQ) :-
(Only Answer) (Steps not mandatory)
(State the Reason for the Option you've chosen [Mandatory])

A Rational Number lying between √2 & √3 is -
$a) \frac{ \sqrt{2} + \sqrt{3} }{2} \\ b) \sqrt{6} \\ c)1.6 \\ d)1.9$
REFERENCE -
RS AGGARWAL - Number Systems - Page 57 - MULTIPLE CHOICE QUESTIONS - Q. 22

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Answer 1

Answer:

Option C is correct

Step-by-step explanation:

We know that √2 = 1.41......... , √3 = 1.73...…...

So, the rational number between √2 and √3 is lesser than √3 and greater than √2

Therefore, option a is incorrect because it is irrational

option b is also incorrect because it is also irrational.

option d is incorrect because it greater than

√3

Hence option C is correct because the number is rational and also lies between √2 and √3 .

Hope it helps you!!!¡

Answer 2

Answer:

1.6

Reason: Root 2 = 1.414 and root 3 = 1.732

Since the answer must be smaller than root 3 and greater than root 2

Therefore 1.6 is the rational number that lies between those two numbers.

Hope this helps!