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Question
State whether the following statement is true or false. Justify your answer.
Every point on the number line is of the form `sqrt m`, where m is a natural number.
Options
True
False
Solution
This statement is False.
Explanation:
Every point on the number line is of the form `sqrtm`, where m is a natural number, because for example there are infinite numbers between `sqrt2` and `sqrt3` which are not of the form `sqrtm`, where m is a natural number.
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