Class 9 || Number system || irrational number || exams

Define an irrational number.

Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

pi is an irrational number (True / False).

Which of the following is a correct statement? (A)Sum of two irrational numbers is always irrational (B) Sum of a rational and irrational number is always an irrational number (C)Square of an irrational number is always an irrational number (D) Sum of two rational numbers can never be an integer

Examine each of the as a rational number or an irrational number. (3 + sqrt(2))^(2)

Insert three irrational numbers between 5 and 7.

The product of two irrational numbers is an irrational number (True/false).

The sum of two irrational numbers is an irrational number (True/false).

Symbolise the following statements. The square roots of all prime numbers are irrational numbers. ( Let P denote the set of prime numbers and Q that of irrational numbers ).

Are the following pairs of statements negations of each other: (i) The number x is not a rational number. The number x is not an irrational number. (ii) The number x is a rational number. The number x is an irrational number.