![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
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 the smallest number by which the given number must be divided to obtain a perfect cube also find the cube root of the quotient: $576$.
Given: A number $576$.
To do: To find the smallest number by which the given number must be divided to obtain a perfect cube and also to find the cube root of the quotient.
Solution:
Given number: $576$
On factorization:
$576=\underline{2\times2\times2}\times\underline{2\times2\times2}\times3\times3$
Therefore, $576$ should be divided by $( 3\times3=9)$ to make it perfect cube.
After dividing $576$ by $9$,
Newly obtained number$=576\div9=64$
Cube root of $64=\sqrt[3]{64}$
$=\sqrt[3]{\underline{2\times2\times2}\times\underline{2\times2\times2}}$
$=2\times2$
$=4$
Thus, $576$ must be divided by $9$ to make it perfect cube, and the quotient is $64$. Cube root of the quotient is $4$.
Advertisements