In the following equations, find whether variables x,y,z etc. represent rational or irrational numbers x2 = 7

Foundation

Mathematics Foundation

Properties of Real Number

Irrational Number

Linear Equations in One Variable

Question

In the following equations, find whether variables x,y,z etc. represent rational or irrational numbers x² = 7

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Given,

x 2 = 7

\Rightarrow x = \sqrt{7}

The number

\sqrt{7}

is an irrational number.

Hence, x is an irrational number.