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Question
If n is a natural number, then \[\sqrt{n}\] is
Options
always a natural number
always an irrational number
always an irrational number
sometimes a natural number and sometimes an irrational number
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Solution
The term “natural number” refers either to a member of the set of positive integer.1,2,3.
And natural number starts from one of counting digit .Thus, if n is a natural number then sometimes n is a perfect square and sometimes it is not.
Therefore, sometimes`sqrtn` is a natural number and sometimes it is an irrational number.
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