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State whether the following statement is true or false. Justify your answers.
Every point on the number line is of the form $$\sqrt {m},$$ where $$m$$ is a natural number___
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## QuestionMathsClass 9

State whether the following statement is true or false. Justify your answers.
Every point on the number line is of the form $$\sqrt {m},$$ where $$m$$ is a natural number___

× 点评：False
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4.6

## Solution

Since, on a number line, we can represent both negative as well as positive numbers.
Positive numbers are in the form of $$\sqrt{1}, \sqrt{1.1}, \sqrt{1.2} \ldots$$ But, after taking square root of any natural number, we cannot get a negative number.
So, we don't get every point of number line.
Therefore, not every number on the number line is of form $$\sqrt{m},$$ where $$m$$ is a natural number.