If N is a Natural Number, Then √ N is - Mathematics

MCQ

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

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, sometimessqrtn is a natural number and sometimes it is an irrational number.

Concept: Representing Real Numbers on the Number Line
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Exercise 1.6 | Q 9 | Page 40