(2%2B%E2%88%9A2)-class-9.jpeg "(3+√3)(2+√2) Class 9")
Simplifying the Expression: (3+√3)(2+√2)
In this article, we will simplify the algebraic expression (3+√3)(2+√2). This type of expression is commonly encountered in class 9 mathematics, and it requires the application of algebraic identities and rules of indices.
Step 1: Expand the Expression
To simplify the expression, we need to expand it using the distributive property of multiplication over addition. We will multiply each term in the first bracket with each term in the second bracket.
(3+√3)(2+√2) = 3(2+√2) + √3(2+√2)
Step 2: Multiply and Combine Like Terms
Now, we will multiply the terms and combine like terms:
= 6 + 3√2 + 2√3 + √6
Simplified Expression
The simplified expression is:
(6 + 3√2 + 2√3 + √6)
This is the final simplified form of the expression (3+√3)(2+√2).
