**Given Information:**
a = 4√(6) / (√(2) √(3))

**Steps to Solve:**

To find the value of 'a', we can simplify the expression step by step.

**Step 1: Simplify the denominator**
- The denominator has two square roots, √(2) and √(3).
- The product of two square roots is the square root of their product.
- So, √(2) √(3) can be simplified as √(2 * 3) = √(6).

**Step 2: Substitute the simplified denominator**
- Substitute the simplified denominator (√(6)) back into the expression.
- a = 4√(6) / √(6)

**Step 3: Simplify the fraction**
- When we have the same square root in both the numerator and denominator, we can cancel them out.
- So, √(6) in the numerator and denominator can be canceled out.
- a = 4

**Step 4: Final Answer**
- After simplification, we find that the value of 'a' is 4.

**Explanation:**
- The given expression involves a fraction with a numerator and a denominator.
- We start by simplifying the denominator by taking the product of the square roots (√(2) √(3)) and simplifying it to √(6).
- Then, we substitute the simplified denominator back into the expression.
- Since the numerator and denominator have the same square root (√(6)), we can cancel them out, leaving us with the simplified value of 'a', which is 4.
- Therefore, the value of 'a' is 4.

A=4
root6=root2×root3
rootab =rootA×rootB