Simplifying the Expression: 1/2√3 + 1/2
In mathematics, simplifying expressions is an essential skill to master. In this article, we will explore the simplification of the expression 1/2√3 + 1/2.
Breaking Down the Expression
The given expression is a combination of two terms: 1/2√3 and 1/2. To simplify the expression, we need to analyze each term separately.
Term 1: 1/2√3
The first term, 1/2√3, is a product of two numbers: 1/2 and √3. The number √3 is an irrational number, which means it cannot be expressed as a finite decimal or fraction. However, we can simplify the term by rationalizing the denominator:
$\frac{1}{2}\sqrt{3} = \frac{\sqrt{3}}{2}$
Term 2: 1/2
The second term, 1/2, is a simple fraction.
Combining the Terms
Now that we have simplified each term, we can combine them to get the final result:
$\frac{\sqrt{3}}{2} + \frac{1}{2} = \frac{\sqrt{3} + 1}{2}$
Thus, the simplified form of the expression 1/2√3 + 1/2 is (√3 + 1)/2.
Conclusion
In this article, we have successfully simplified the expression 1/2√3 + 1/2. By breaking down the expression into individual terms, simplifying each term, and combining them, we arrived at the final result: (√3 + 1)/2. This process demonstrates the importance of simplifying expressions in mathematics, making it easier to work with complex mathematical expressions.
