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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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