Home
Class 9
MATHS
State, in each case, whether the give...

State, in each case, whether the given statements is ture or false.
(i) The sum of two rational numbers is rational.
(ii) The sum of two irrational numbers is irrational.
(iii) The product of two rational numbers is rational.
(iv) The product of two irrational numbers is irrational.
(v) The sum of a rational number and irrational number is irrational.
(vi) The product of a nonzero rational number and an irrational number is a rational number.
(vii)Every real number is rational or irrational.
(viii) Every number is either rational or irrational.
(ix) `pi ` is irrational and `(22)/(7)` is rational.

Promotional Banner

Similar Questions

Explore conceptually related problems

The product of a non-zero rational number and an irrational number is irrational.

The product of a non zero rational and an irrational number is

The product of a rational number and an irrational number is

State true or false: (i) Negative of an irrational number is irrational . (ii) The product of a non- zero rational number and an irrational number is a rational number.

State whether the given statements are true or false : (i) The sum of two rationals is always rational. (ii) The sum of two irrationals is always irrational. (iii) The product of two rationals is always rational. (iv) The product of two irrationals is always irrational. (v) The sum of a rational and an irrational is always rational. (vi) The product of a rational and an irrational is always irrational.

The product of a non-zero rational and irrational number is

Is pi a rational or an irrational numbers?

Multiplication of a non-zero rational number with an irrational number is an irrational number.