To determine which number produces an irrational number when added to 0.4, we need to analyze each option:
A. \(3\sqrt{3}\) - This is an irrational number. B. \(0.444...\) - This is a repeating decimal and thus a rational number. C. \(2/7\) - This is a rational number since it is a fraction. D. \(9\) - This is a rational number.
When you add an irrational number to a rational number, the result is irrational. Thus, the only option that is irrational is \(3\sqrt{3}\).
Therefore, the correct answer is:
A. \(3\sqrt{3}\).
3 answers