Question

An irrational number lying between 2 and 3 is : (a) sqrt(5) (b) sqrt(13) (c) 2.41 (d) sqrt(2)

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Answer 1

Answer:

option (a) is the answer

Answer 2

Solution :-

$2 = \frac{6}{3} \: and \: 3 = \frac{9}{3}$

Hence:

$2 = \frac{6}{3} < \frac{7}{3} < \frac{8}{3} < \frac{9}{3} = 3$

Hence, Taking Square Roots gives the following Sequence of irrational Numbers:

$\sqrt{2} < \sqrt{ \frac{7}{3} } < \sqrt{ \frac{8}{3} } < \sqrt{3}$

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