Answer :

(i) True

We can explain this with an example.

Let the two rational numbers be and .

On addition, which is also a rational number.

(ii) True

We can explain this with an example.

Let the two irrational numbers be √2 and √3

On addition, √2+√3, which is also an irrational number.

(iii) True

Explanation: We can explain this with an example.

Let the two rational numbers be and .

On addition, which is also a rational number.

(iv) False

We can explain this with an example.

Let the two irrational numbers be √3 and √5

On multiplication, √3 × √5 = √15,

which is an irrational number. So, this is not always true.

(v) True

Since a rational number can be plotted on a number line, therefore, every rational number is a real number.

(vi) False

This can be explained with an example. Let us consider any real number, say 2, 2 is a real number as it can be plotted on a number line.

We can write 2 as , so 2 is a rational number.

∴ The given statement is not always true.

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