What is the value of (6+√27)−(3+√3)+(1−2√3) when simplified ?

Quetion : The value of $(6+\sqrt{27})-(3+\sqrt{3})+(1-2 \sqrt{3})$ when simplified is :

1. positive and irrational
2. negative and rational
3. positive and rational
4. negative and irrational

Solution :
The correct option is 3. positive and rational

$6+\sqrt{27}-(3+\sqrt{3})+(1-2 \sqrt{3})=6+3 \sqrt{3}-3-\sqrt{3}+1-2 \sqrt{3} = 4$

4 is a positive rational number.
Hence, correct answer is option 3.