Let's simplify the expression 3√45 - 5/2 √1/3 4√3. We will break it down step by step using the rules of simplifying radicals.

1. Simplify the numbers inside the radicals:
- √45 = √(9 × 5) = √9 × √5 = 3√5
- √1/3 = √(1/3) = 1/√3 = 1/√3 × √3/√3 = √3/3
- 4√3 remains the same

Therefore, the expression becomes:
3√5 - 5/2 √3/3 4√3

2. Simplify the expression inside the fractional radical:
- 5/2 √3/3 = (5/2) × (√3/3) = (5√3)/6

Now the expression becomes:
3√5 - (5√3)/6 4√3

3. Simplify the expression with the same radical:
- 4√3 × 4√3 = 4 × 4 × √3 × √3 = 16 × 3 = 48

Now the expression becomes:
3√5 - (5√3)/6 × 48

4. Simplify the remaining expression:
- (5√3)/6 × 48 = (5√3 × 48)/6 = (5 × 48 × √3)/6 = 40√3

Now the expression becomes:
3√5 - 40√3

5. Combine like terms:
Since the two terms have different radicals, we cannot directly combine them. So, the simplified expression is:
3√5 - 40√3

In summary:
3√45 - 5/2 √1/3 4√3 simplifies to 3√5 - 40√3.

Note: The above steps follow the rules of simplifying radicals and perform the necessary operations to simplify the expression.

Can any one answer this?