Question 2. Are the square roots of all positive integers irrational? If not, give an exa Chapter 1: Number System Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 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.Question 3 Show how √5 can be represented on the number line. √5 = √(4+1) is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 1 absolutely free. NCERT Solutions for class 9 Maths Chapter 1: Number System is very essencial for getting good marks in CBSE Board examinations

Question 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.
Solution: All perfect square number has rational roots
Examples √1 , √4 ,√9 ,√25 ………….

Question 3 Show how √5 can be represented on the number line.
√5 = √(4+1)
Solution: Here 4 and 1 both are perfect square number as √4 = 2 and √1 = 1
So draw right triangle with side 2 and 1
And according to Pythagoras theorem hypotenuse will √(22+12) = √5
Then draw an arc of √5 on number line