Is sqrt{2} a rational number? | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) rational number is defined as a number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q 
eq 0$.$\sqrt{2}$ is

Vedclass · Accepted Answer

No

Vedclass · Answer

(B) rational number is defined as a number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q 
eq 0$.$\sqrt{2}$ is a non-terminating and non-repeating decimal $(1.41421356...)$.Since it cannot be expressed as a ratio of two integers,it is an irrational number.Therefore,$\sqrt{2}$ is not a rational number.

Is $\sqrt{2}$ a rational number?

Similar Questions

The following real number is expressed in decimal form. Determine whether it is rational or not. If rational,express it in the form of $\frac{p}{q}$. $5 . \overline{123456}$

Prove that $\sqrt{2}$ is an irrational number.

The number $0.01111...$ is a type of........

$\sqrt{2}$ is a . . . . . . number. (Rational,Irrational,Prime)

Prove that $\sqrt{7}$ is an irrational number.

Vedclass Test Series

Exam Paper Generator

Online Exam Module