Question

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

(a) positive and irrational (b) positive and rational (c) negative and irrational (d) negative and rational

Answer 1

$(a+b)\times (a-b)=a^2-b^2=4-3=1$
Thus, the given expression when simplified is positive and rational.
Hence, the correct answer is option (b)