S.No.	Question & Answer
Q1.	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.
Ans.	(i) True, since the collection of real numbers is made up of rational and irrational numbers. (ii) False, no negative number can be the square root of any natural number. (iii) False, for example, 2 is real but not irrational.
Q2.	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.
Ans.	No, for example, √4=2, which is a rational number.
Q3.	Show how √5 can be represented on the number line.
Ans.	√5= √2²+√1² Refer the below image for explanation

Class 9 Maths Exercise 1.2 | Number System | NCERT Simple Solutions

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