निम्नलिखित में से कौन एक परिमेय संख्या नहीं है?

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

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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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गणना:

परिमेय संख्या - एक संख्या जो p/q के रूप में होती है।

दिए गए विकल्प के अनुसार

⇒ \(\sqrt {{3^2} + {4^2}} \) = √25 = 5 एक परिमेय संख्या है।

⇒ \( √ {12.96} \) = 3.6 एक परिमेय संख्या है।

⇒ √125 = 5√5 एक परिमेय संख्या नहीं है।

⇒ √900 = 30 एक परिमेय संख्या है।

∴ √125 एक परिमेय संख्या नहीं है।

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