Simplifying 10 × ½√2
Simplifying expressions involving square roots can be a bit tricky, but with the right approach, it can be done easily. In this article, we will explore how to simplify the expression 10 × ½√2.
What is √2?
Before we dive into simplifying the expression, let's take a brief look at what √2 is. √2 is the square root of 2, which is an irrational number. It is approximately equal to 1.414.
Simplifying 10 × ½√2
To simplify the expression 10 × ½√2, we need to follow the order of operations (PEMDAS):
- Multiply 10 and ½: 10 × ½ = 5
- Multiply 5 by √2: 5√2
So, the simplified expression is 5√2.
Properties of Square Roots
It's worth noting that square roots have some important properties that can help us simplify expressions:
- Product Property: √(ab) = √a × √b
- Quotient Property: √(a/b) = √a / √b
These properties can be used to simplify more complex expressions involving square roots.
Conclusion
In conclusion, simplifying the expression 10 × ½√2 is a straightforward process that involves multiplying the coefficients and applying the product property of square roots. The simplified expression is 5√2. Understanding the properties of square roots can help us tackle more complex expressions and simplify them with ease.
