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Classify the following numbers as rational or irrational: (i) square root 23

9. Classify the following numbers as rational or irrational :

 (i)      \sqrt{23}

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We can rewrite \sqrt{23} in decimal form as 

\Rightarrow \sqrt{23} = 4.7958152....

Now, as the decimal expansion of this number is non-terminating non-recurring. 

Therefore, it is an irrational number.

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