Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.
Given:
Given rational numbers are $\frac{5}{7}$ and $\frac{9}{11}$.
To do:
We have to find three irrational numbers between the given numbers.
Solution:
A rational number can be expressed in either terminating decimal or non-terminating recurring decimals and an irrational number is expressed in non-terminating non-recurring decimals.
We can insert infinite irrational numbers between two rational numbers.
$\frac{5}{7} = 0.7142857…..$
$\frac{9}{11} = 0.81818……$
Therefore,
$0.72644513…., 0.736546…., 0.7465664…$ are less than $\frac{5}{7} = 0.7142857…..$ and greater than $\frac{9}{11} = 0.81818……$.
Three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$ are $0.72644513…., 0.736546….$ and $0.7465664…$.
109 Views
