Select the two irrational numbers.

A
143\frac{14}{3}
3
14



B
3\sqrt{3}
3



C
�\piπ

D
3.14‾3.\overline{14}3.
14


E
3.143.143.14

1 answer

To identify the two irrational numbers from the options provided, let's analyze each option:

A) \(143\frac{14}{3} \) - This expression is a mixed number and can be expressed as a rational number.

B) \(3\sqrt{3}\) - The square root of 3 is an irrational number, and when multiplied by 3, the result is still irrational. Thus, \(3\sqrt{3}\) is irrational.

C) \(\pi\) - Pi is a well-known irrational number.

D) \(3.14\overline{14}\) - This represents the repeating decimal \(3.141414...\), which is a rational number.

E) \(3.14\) - This is a finite decimal and therefore a rational number.

Based on the analysis, the two irrational numbers are:

  • B) \(3\sqrt{3}\)
  • C) \(\pi\)