The expression you're asking about is:

$\frac{3 \times \sqrt{22}}{2}$

To simplify or evaluate this:

1. First, find the square root of 22:
   $\sqrt{22} \approx 4.690$

2. Multiply this by 3:
   $3 \times 4.690 = 14.07$

3. Now, divide by 2:
   $\frac{14.07}{2} \approx 7.035$

Thus, the value of the expression is approximately:

$7.035$

Would you like further details or explanations on any part of this?

Related questions:

1. How do you simplify square roots in algebraic expressions?
2. What are some other methods for approximating square roots?
3. How can you evaluate expressions involving square roots without a calculator?
4. Can you apply this method to other fractional expressions?
5. What is the significance of irrational numbers in math?

Tip: When working with square roots, always look for opportunities to simplify the expression before evaluating it for a more accurate or easier result!