There are numbers which cannot be written in the form p/q ​ , where q ≠ 0 and both p, q are integers

eSaral Logo
Team eSaral

eSaral Academic and Editorial Team

1 min read
There are numbers which cannot be written in the form p/q ​ , where q ≠ 0 and both p, q are integers

Question : State true or false:

There are numbers which cannot be written in the form p/q ​ , where q ≠ 0 and both pq are integers.

  1. True
  2. False

Solution :
The correct option is 1. True
The statement is true as there are Irrational numbers which don't satisfy the
condition of rational numbers i.e irrational numbers cannot be written in the
form of $_{\mathrm{q}}^{\mathrm{p}} $ , $\mathrm{q} \neq 0$, where $\mathrm{p}, \mathrm{q}$ are integers.
Example,
$\sqrt{3}, \sqrt{99}$

eSaral Logo

Team eSaral

eSaral Academic and Editorial Team

Team eSaral is the collective author profile for educational content created by eSaral’s teachers and academic contributors. The team draws on expertise from IIT graduates, doctors, experienced educators and subject specialists to develop resources for JEE, NEET and school students. Our articles aim to explain concepts clearly and help students study with confidence.

Exam PreparationAcademic StrategiesJEE and NEET PreparationStudy TechniquesSchool Education