Q. 14.4( 19 Votes )

Let us write the

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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