# State whether the

(i) True, since the real numbers are the collection of rational and irrational numbers.

For example √2 = 1.414... which can be represented in a number line.

All the numbers which can be represented in a number line are real.

(ii) False, since negative numbers cannot be expressed as the square of any other real number m.

for example: 4 = √2 but there is no number whose square root is -4.

(iii) False, as real numbers consist of both rational and irrational numbers. Therefore, every real number may not be an irrational number.

For example: √2 is irrational and 1/2 is rational and both are real numbers.

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