![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
Simplify the following expression:$(3 + \sqrt{3})(2 + \sqrt{2})$
Given:
The given expression is $(3+\sqrt{3})(2+\sqrt{2})$.
To do :
We have to simplify the given expression.
Solution :
We know that,
$(a+b) \times (c+d) = a(c+d) +b(c+d) = ac+ad+bc+bd$
Therefore,
$(3+\sqrt{3})(2+\sqrt{2})= (3)(2) + 3(\sqrt{2})+(\sqrt{3})(2)+(\sqrt{3})(\sqrt{2})$
$= 6+3\sqrt{2}+2\sqrt{3}+\sqrt{6}$
The simplified form of $(3+\sqrt{3})(2+\sqrt{2})$ is $6+3\sqrt{2}+2\sqrt{3}+\sqrt{6}$
Advertisements