Simplify the expression (3)/(2sqrt(6) - 3)

The conjugate of $2\sqrt{6} - \sqrt{3}$ is $2\sqrt{6} + \sqrt{3}$.

Here, $a = 2\sqrt{6}$ and $b = \sqrt{3}$.

The simplified expression is $\boxed{\frac{2\sqrt{6} + \sqrt{3}}{7}}$.

i) Set
A set is a well-defined collection of distinct objects, called elements. For example, the set of even numbers less than 10 is $\{2, 4, 6, 8\}$.
Diagram:
A set can be represented by a circle or oval containing its elements.

      _______
     /       \
    |  A      |
    | {1, 2, 3}|
     \_______/

ii) Singleton Set
A singleton set is a set that contains exactly one element. For example, the set of even prime numbers is $\{2\}$.
Diagram:
A singleton set is shown as a circle or oval containing only one element.

      _______
     /       \
    |  B      |
    |   {5}   |
     \_______/

iii) Venn Diagram
A Venn diagram is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams use overlapping circles or other shapes to represent sets, with the universal set often represented by a rectangle enclosing all other sets.
Diagram:
This diagram shows a universal set (U) and two overlapping sets (A and B). The overlapping region represents elements common to both A and B ($A \cap B$).

   _________________________
  | U                       |
  |     _______     _______ |
  |    /       \   /       \|
  |   |    A    | |    B    ||
  |   |         | |         ||
  |    \_______/   \_______/ |
  |_________________________|