Q) ( root 3 + root 2 ) ( root 3 - root 2 )
( a + b ) ( a - b) = a^2 - b^2
=> (root 3)^2 - (root 2 )^2
=> 3 - 2
=> 1

Q) ( root 3 × root 2 ) ( root 3 - root 2 )
=> root 3 ( root 3 -root 2 ) + root 2 ( root 3 - root 2 )
=> 3 - root 6 + root 6 - 2
=> 3 - 2
=> 1

Simplifying the expression (√3 * √2) * (√3 - √2) involves applying the distributive property of multiplication over subtraction and simplifying the resulting expression.

To simplify the expression (√3 * √2) * (√3 - √2), we can follow these steps:

1. Apply the distributive property of multiplication over subtraction:
(√3 * √2) * (√3 - √2) = (√3 * √2 * √3) - (√3 * √2 * √2)

2. Simplify the multiplication of radicals:
(√3 * √2 * √3) = (√3 * √3 * √2) = (√(3 * 3) * √2) = (√9 * √2) = 3√2

3. Simplify the second term:
(√3 * √2 * √2) = (√3 * √2 * √2) = (√(3 * 2) * √2) = (√6 * √2) = √(6 * 2) = √12

4. Simplify the resulting expression:
3√2 - √12

To simplify further, we can simplify the radical √12:
√12 = √(4 * 3) = √4 * √3 = 2√3

Substitute the simplified radical back into the expression:
3√2 - 2√3

This is the simplified form of the expression (√3 * √2) * (√3 - √2).

In summary:

(√3 * √2) * (√3 - √2) simplifies to 3√2 - 2√3.