Question

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.
2. Are the square roots of all positive integers irrational? If not, give an example of the
square root of a number that is a rational number.
3.
Show how 15 can be represented on the number line.​

Answer 1

Answer:

true

false

false

is the correct answer

Answer 2

Answer:

(i) True

Because all rational numbers and all irrational numbers form the group (collection) of real numbers.

(ii) False

Because negative numbers cannot be the square root of any natural number.

(iii) False

Because rational numbers are also a part of real numbers.

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