Question
Download Solution PDFWhich of the following is a rational number between \(\sqrt{5}\) and \(\sqrt{7}\)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
√ 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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