Which of the following is an irrational number: −1529

, 0.343434..., 2√3
, or 87.9821?(1 point)

1 answer

The number \( 2\sqrt{3} \) is an irrational number.

Here's a brief explanation of the other numbers:

  • \( -1529 \) is a rational number (it's an integer).
  • \( 0.343434...\) (which can be written as \( 0.\overline{34} \)) is a rational number because it can be expressed as a fraction.
  • \( 87.9821 \) is also a rational number since it can be expressed as a fraction (it's a terminating decimal).

Thus, the only irrational number in the list is \( 2\sqrt{3} \).