√5 और 7 के बीच निम्नलिखित में से कौन-सी एक परिमेय संख्या है?

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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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दिया गया है

√5 और √7

अवधारणा

परिमेय संख्याएँ वे संख्याएँ होती हैं जो या तो सांत, असांत या आवर्ती होती हैं।

गणना

5 = 2.236 और √7 = 2.64

परिमेय संख्या 2.33... और 2.64... के बीच है।

इसलिए, केवल \(2{2\over5}\) वह संख्या है जो 2.236 और 2.64 के बीच स्थित है।

\(2{2\over5}\), 5 और 7 के बीच परिमेय संख्या है।

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