`pi` is an irrational number (True / False).

True or False

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

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

Define an irrational number.

Give an example of each, of two irrational numbers whose: (i) difference is a rational number. (ii) difference is an irrational number. (iii) sum is a rational number. (iv) sum is an irrational number. (v) product is a rational number. (vi) product is an irrational number. (vii) quotient is a rational number. (viii) quotient is an irrational number.

Irrational numbers are real numbers also.

Find whether the following statements are true or false. (i) Every real number is either rational or irrational. (ii) pi is an irrational number. (iii) Irrational numbers cannot be represented by points on the number line.

The electropositive character of alkali metals decreases with an increase in atomic number. True or False

Show that 5+2 sqrt(7) is an irrational number, where sqrt(7) is given to be an irrational number.

Show that 5+2 sqrt(7) is an irrational number, where sqrt(7) is given to be an irrational number.