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) \(\pi\)