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Question
The square of an irrational number is always rational.
Options
True
False
Solution
This statement is False.
Explanation:
Let us consider irrational numbers `sqrt(2)` and `root(4)(2)`
- `(sqrt(2))^2 = 2`, which is a rational number.
- `(root(4)(2))^2 = sqrt(2)`, which is an irrational number.
Hence, square of an irrational number is not always a rational number.
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