Question 3State whether the following statements are true or false? Justify your answer.(i) √23 is a rational number.(ii) There are infinitely many integers between any two integers.(iii) Number of rational numbers between 15 and 18 is finite.(iv) There are numbers which cannot be written in the form pq,q≠0 p and q both are integers.(v) The square of an irrational number is always rational.(vi) √12√3 is not a rational number as √12 and √3 are not integers.(vii) √15√3 is written in the form pq, so it is a rational number.

Question 3State whether the following statements are true or false? Ju

1.	Question 3State whether the following statements are true or false? Justify your answer.(i) √23 is a rational number.(ii) There are infinitely many integers between any two integers.(iii) Number of rational numbers between 15 and 18 is finite.(iv) There are numbers which cannot be written in the form pq,q≠0 p and q both are integers.(v) The square of an irrational number is always rational.(vi) √12√3 is not a rational number as √12 and √3 are not integers.(vii) √15√3 is written in the form pq, so it is a rational number.
Answer» Question 3 State whether the following statements are true or false? Justify your answer. (i) $\frac{\sqrt{2}}{3}$ is a rational number. (ii) There are infinitely many integers between any two integers. (iii) Number of rational numbers between 15 and 18 is finite. (iv) There are numbers which cannot be written in the form $\frac{p}{q}, q \neq 0$ p and q both are integers. (v) The square of an irrational number is always rational. (vi) $\frac{\sqrt{12}}{\sqrt{3}}$ is not a rational number as $\sqrt{1} 2$ and $\sqrt{3}$ are not integers. (vii) $\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q}$ , so it is a rational number.