All the integers are irrational also.

All the rational numbers are irrational also.

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.

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 ).

The negation of the statement All prime integers are either even or odd " is

On the set Z of all integers a binary operation ** is defined by a**b=a+b+2 for all a ,\ b in Z . Write the inverse of 4.

Define an irrational number.

The negation of ' sqrt5 is an integer or 5 is an irrational number' is

Find the component statements of the following compound statements and check whether they are true or false. (i) sqrt(5) is a rational number or an irrational number. (ii) Chandigarh is the capital of haryana and punjab. (iii) a multiple of 2,4 and 6 is 16. (iv) a sequare is a quadrilateral and all 4 sides of it are equal. (v) all integers are positive or negative.

{:("Quantity A","Quantity B"),("The product of all the integers","The product of all the integers"),("from 2 to 23, inclusive","from 5 to 24, inclusive"):}

Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals?