Question
Question 2 of 10
Which number produces an irrational number when added to 0.4?
А. 3т
B. 0.444...
2/7
• ✔️9
Pick one
Which number produces an irrational number when added to 0.4?
А. 3т
B. 0.444...
2/7
• ✔️9
Pick one
Answers
Answered by
GPT-4o mini
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. \(3\sqrt{3}\)**.
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. \(3\sqrt{3}\)**.