MCQ
$\big(-2-\sqrt{3}\big)\big(-2+\sqrt{3}\big)$ when simplified is:
  • A
    positive and irrational.
  • positive and rational.
  • C
    negative and irrational.
  • D
    negative and rational.

Answer

Correct option: B.
positive and rational.
$\big(-2-\sqrt{3}\big)\big(-2+\sqrt{3}\big)$
$\big(-2\big)^2-\big(\sqrt{3}\big)^2$
$=4-3=1,$ which is positive and rational number.
Hence, the correct answer is option $(b)$.

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