Subtraction of two irrational numbers is:

a rational

No worries! We‘ve got your back. Try BYJU‘S free classes today!

an irrational an integer

No worries! We‘ve got your back. Try BYJU‘S free classes today!

either rational or irrational

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Can't determine

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C either rational or irrational
The subtraction of two irrational number can be rational or irrational depending on if the irrational part is same or different in both the irrational numbers respectively.
For instance, $(2 + \sqrt{3}) - (1 + \sqrt{3}) = 1$ , which is rational.
Whereas, $\sqrt{3} - \sqrt{2}$ is irrational.

Suggest Corrections

Similar questions

State, in each case, whether the given statement is true 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 an 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.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

Join BYJU'S Learning Program