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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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Question

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___

Answer

× 点评:False
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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.
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