when simplified is


$(6+\sqrt{27})-(3+\sqrt{3})+(1-2 \sqrt{3})$ when simplified is

(a) positive and irrational

(b) positive and rational

(c) negative and irrational

(d) neqative and rational



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

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

$=6+3 \sqrt{3}-3-\sqrt{3}+1-2 \sqrt{3}$


Thus, the given expression when simplified is positive and rational.

Hence, the correct answer is option (b).


Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now