(A) The product of two irrational numbers can be either rational or irrational. For example: $1$. If we take $\sqrt{2} \times \sqrt{2} = 2$,which is a

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

sometimes rational,sometimes irrational

(A) The product of two irrational numbers can be either rational or irrational. For example: $1$. If we take $\sqrt{2} \times \sqrt{2} = 2$,which is a rational number. $2$. If we take $\sqrt{2} \times \sqrt{3} = \sqrt{6}$,which is an irrational number. Therefore,the product is sometimes rational and sometimes irrational.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

The product of any two irrational numbers is

A
sometimes rational,sometimes irrational
B
always an irrational number
C
always a rational number
D
always an integer

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Number Systems

Subtopic

Mix Examples - Number Systems

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

Easy

View Solution

Insert a rational number and an irrational number between the following: $\sqrt{2}$ and $\sqrt{3}$

Difficult

View Solution

Find five rational numbers between $-\frac{3}{4}$ and $-\frac{1}{3}$.

Medium

View Solution

Insert a rational number and an irrational number between the following:
$0.0001$ and $0.001$

Medium

View Solution

Express $0.6 + 0.\overline{7} + 0.4\overline{7}$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$.

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The product of any two irrational numbers is

Similar Questions

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

Insert a rational number and an irrational number between the following: $\sqrt{2}$ and $\sqrt{3}$

Find five rational numbers between $-\frac{3}{4}$ and $-\frac{1}{3}$.

Insert a rational number and an irrational number between the following:$0.0001$ and $0.001$

Express $0.6 + 0.\overline{7} + 0.4\overline{7}$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Insert a rational number and an irrational number between the following:
$0.0001$ and $0.001$