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

cdquestions Admin · Accepted Answer

If numbers such as $ \sqrt4 = 2, \sqrt9 = 3$  are considered, Then here, 2 and 3 are rational numbers.  Thus, the square roots of all positive integers are not irrational.

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

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 and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions