MathematicsState true/ false:The square of an irrational number is always rational.

State true/ false:

The square of an irrational number is always rational.

Here, we have to find if the square of an irrational number is always rational or not.
Let us take an example

\sqrt[4]{2}

,
Squaring the number,

{(\sqrt[4]{2})}^{2} = \sqrt{2}

.
As,

\sqrt{2}

is an irrational.
Hence, the square of an irrational number is not always rational.
Therefore, the statement is false and the correct option is 2.

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