1/2√2×1/2√2: Simplifying the Expression
Introduction
When dealing with mathematical expressions, it's essential to simplify them to make them easier to work with. In this article, we'll explore the expression 1/2√2×1/2√2 and simplify it to its most basic form.
The Expression
The given expression is 1/2√2×1/2√2. At first glance, it might seem complicated, but let's break it down and simplify it step by step.
Simplification
To simplify the expression, we can start by multiplying the two terms:
1/2√2×1/2√2 = (1/2)² × (√2)²
Next, we can simplify the exponentiation:
(1/2)² = 1/4
(√2)² = 2
So, the expression becomes:
1/4 × 2
Final Answer
Finally, we can simplify the expression to its simplest form:
1/2√2×1/2√2 = 1/2
And that's it! We've successfully simplified the expression 1/2√2×1/2√2 to its most basic form.
