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# Classify the following numbers as rational or irrational: (ii) (3+ square root 23) - square root 23

1. Classify the following numbers as rational or irrational:

(ii)     $\left ( 3+\sqrt{23} \right )-\sqrt{23}$

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Given number is  $\left ( 3+\sqrt{23} \right )-\sqrt{23}$

$\Rightarrow \left ( 3+\sqrt{23} \right )-\sqrt{23} = 3+\sqrt{23}-\sqrt{23} = 3$
Now, it is clearly a rational number because we can represent it in the form of  $\frac{p}{q}$

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