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  • Classify the following numbers as rational or irrational: (iv) 1 by square root 2

1. Classify the following numbers as rational or irrational:

 (iv)     \frac{1}{\sqrt{2}}

Answers (1)

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Given number is \frac{1}{\sqrt{2}}

\Rightarrow \frac{1}{\sqrt{2}}= \frac{\sqrt{2}}{2}=\frac{1.41421356..}{2} =0.7071068...
Now,
Clearly, as the decimal expansion of this expression is non-terminating and non-recurring. Therefore, it is an irrational number.

Posted by

Gautam harsolia

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