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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Updated on: 10-Oct-2022

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