which of the following is NOT a rational number?

\(\sqrt {{3^2} + {4^2},} \sqrt {12.96,} \sqrt {125,\;} and\;\sqrt {900} \)

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NTPC CBT-I (Held On: 5 Jan 2021 Shift 1)
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  1. \(\sqrt {12.96} \)
  2. \(\sqrt {125} \)
  3. \(\sqrt {900} \)
  4. \(\sqrt {{3^2} + {4^2}} \)

Answer (Detailed Solution Below)

Option 2 : \(\sqrt {125} \)
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Detailed Solution

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Calculation:

Rational number - A number which is in the form of p/q 

According to the given option

⇒ \(\sqrt {{3^2} + {4^2}} \) = √25 = 5 is a rational number

⇒ \( √ {12.96} \) = 3.6 is a rational number

⇒ √125 = 5√5 is not a rational number

⇒ √900 = 30 is a rational number

∴ √125 is not a rational number

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