Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:$ \sqrt{100} $

Given:

\( \sqrt{100} \)

To do:

We have to identify the given number as rational or irrational and write its decimal representation.

Solution:  

A rational number can be expressed in either terminating decimal or non-terminating recurring decimals and an irrational number is expressed in non-terminating non-recurring decimals.

Therefore,

$\sqrt{100}=\sqrt{10\times10}$

$=\sqrt{(10)^2}$

$=10$

The decimal expansion of \( \sqrt{100} \) is $10$ and it is terminating.

Therefore, \( \sqrt{100} \) is a rational number.       

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Updated on: 10-Oct-2022

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