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Which of the following is a rational number between \(\sqrt{5}\) and \(\sqrt{7}\)?

This question was previously asked in
NTPC CBT-I (Held On: 20 Jan 2021 Shift 1)
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  1. \(4\frac{1}{5}\)
  2. \(3\frac{1}{5}\)
  3. \(2\frac{2}{5}\)
  4. \(1\frac{1}{5}\)

Answer (Detailed Solution Below)

Option 3 : \(2\frac{2}{5}\)
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Detailed Solution

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Given

√ 5 and  √7

Concept

Rational numbers are those numbers which are either terminating, non terminating or recurring.

Calculation

√5 = 2.236 and √7 = 2.64

rational number lies between the 2.33... and 2.64...

so, only \(2{2\over5}\) is the number which lies between 2.236 and 2.64

∴ \(2{2\over5}\) is a rational number between \(\sqrt{5}\) and \(\sqrt{7}\)

 

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