Simplifying the Expression: 1/2√2 x 1/2√3
In this article, we will simplify the expression 1/2√2 x 1/2√3 and explore the properties of square roots.
The Given Expression
The given expression is:
1/2√2 x 1/2√3
Step 1: Multiply the Coefficients
First, we multiply the coefficients (the numbers outside the square roots):
(1/2) x (1/2) = 1/4
So, the expression becomes:
1/4 × (√2) × (√3)
Step 2: Simplify the Square Roots
Now, let's simplify the square roots. We can rewrite the expression as:
1/4 × √(2 × 3)
Using the property of square roots, which states that √a × √b = √(a × b), we get:
1/4 × √6
The Simplified Expression
Thus, the simplified expression is:
1/4√6
In conclusion, the simplified expression for 1/2√2 x 1/2√3 is 1/4√6.
