Simplifying the Expression: ½√3 - ½√2
In this article, we will simplify the mathematical expression ½√3 - ½√2. This expression involves square roots and fractions, which can make it seem complicated. But don't worry, we'll break it down step by step.
Step 1: Simplify the Expression
The given expression is:
½√3 - ½√2
To simplify this expression, we need to follow the order of operations (PEMDAS):
- Simplify the square roots
- Combine like terms
Simplifying the Square Roots
The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 multiplied by 3 equals 9.
In our expression, we have two square roots:
- √3
- √2
These square roots cannot be simplified further, so we'll leave them as they are.
Combining Like Terms
Now, let's combine the like terms:
½√3 - ½√2
We can't combine these terms because they have different square roots (√3 and √2). Therefore, the simplified expression is:
½√3 - ½√2
This is the simplest form of the expression.
Conclusion
In conclusion, the simplified expression ½√3 - ½√2 cannot be simplified further. The square roots cannot be simplified, and the like terms cannot be combined. Therefore, the final answer is:
½√3 - ½√2
