Tiêu đề Class 9th math worksheet.pdf ✅

a) Aryabhatta b) Archimedes c) Dedekind d) Cantor [1] 12. Which of the following is an irrational number a) √225 b) 7. 478 c) √23 d) 0.3799 [1] 13. If n is a natural number, then√n is a) always a natural number b) sometimes a natural number and sometimes an irrational number c) always a rational number d) always an irrational number [1] 14. Assertion (A): If √2 = 1.414, √3 = 1.732, then √5 = √2 + √3 . Reason (R): Square root of a positive real number always exists. a) Both A and R are true and R is the correct explanation of A. b) Both A and R are true but R is not the correct explanation of A. c) A is true but R is false. d) A is false but R is true [1] 15. Assertion (A): 2 + √6 is an irrational number. Reason (R): Sum of a rational number and an irrational number is always an irrational number. a) Both A and R are true and R is the correct explanation of A. b) Both A and R are true but R is not the correct explanation of A. c) A is true but R is false. d) A is false but R is true [1] 16. Assertion (A): √2,√3 , are examples of irrational numbers. Reason (R): An irrational number can be expressed in the form p q . a) Both A and R are true and R is the correct explanation of A. b) Both A and R are true but R is not the correct explanation of A. c) A is true but R is false. d) A is false but R is true [1] 17. Assertion (A): √2 is an irrational number. Reason (R): A number is called irrational if it cannot be written in the form p q , where p and q are integers and q ≠ 0. a) Both A and R are true and R is the correct explanation of A. b) Both A and R are true but R is not the correct explanation of A. c) A is true but R is false. d) A is false but R is true [1] 18. Assertion (A): √3 is an irrational number. Reason (R): The sum of a rational number and an irrational number is an irrational number. a) Both A and R are true and R is the correct explanation of A. b) Both A and R are true but R is not the correct explanation of A. c) A is true but R is false. d) A is false but R is true [1] 19. Assertion (A): e is an irrational number. Reason (R): π is an irrational number. a) Both A and R are true and R is the correct explanation of A. b) Both A and R are true but R is not the correct explanation of A. c) A is true but R is false. d) A is false but R is true [1] 20. Assertion (A): √3 is an irrational number. Reason (R): Square root of a positive integer which is not a perfect square is an irrational number.