In the following equations, find whether variables $x, y, z$ etc. represent rational or irrational numbers
$x^{2} = 7$

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Solution

Given, $x^{2} = 7$
$\Rightarrow x = \sqrt{7}$
The number $\sqrt{7}$ is an irrational number.
Hence, $x$ is an irrational number.

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In the following equations, find which variables x, y, z etc, represent rational or irrational numbers :

(i) $x^{2}$ = 5 (ii) $y^{2}$ = 9

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