Classify the following number:$( i).\ \sqrt{23}$
$(ii) 7.478478..$

Given: $( i).\ \sqrt{23}$      $(ii) 7.478478...$

To do: To classify the following number: $( i).\ \sqrt{23}$      $(ii) 7.478478...$

Solution:

$( i).\ \sqrt{23}$

$\sqrt{23}$ is not a perfect square.

Therefore, $\sqrt{23}$ is not a rational number.

$(ii) 7.478478...$

$7.478478...=7.\overline{478}$

Here, $7.478478...$ is a non-terminating and repeating number.

Therefore, $7.478478...$ is a rational number.

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Updated on: 10-Oct-2022

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