In the following equation, find which variables $x, y, z$ etc. represent rational or irrational numbers:$ y^{2}=9 $
Given:
\( y^{2}=9 \)
To do:
We have to find whether $y$ represents a rational number or an irrational number.
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.
$y^2=9$
$\Rightarrow y=\sqrt{9}$
$\Rightarrow y=3$
$3$ is a rational number.
Therefore, \( y \) represents a rational number.
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