Mathematics
State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form √m , where m is a natural number.
(iii) Every real number is an irrational number.
Number System
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Answer
(i) True
Reason — Every irrational number is a real number, because rational number, natural number, whole number all the numbers comes into real number.
(ii) False
Reason — Every point on the number line represents a unique real number.
(iii) False
Reason — For example is real but not irrational.
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