Question
Mia says that anytime there is a radical in an addition expression, it automatically has an irrational number as the sum. Is she correct? (1 point)
• Yes, radicals can't be simplified, so they must be irrational.
O Yes, radicals are irrational.
• No, radicals always simplify to integers, so they are rational.
• No, some radicals simplify to rational numbers.
• Yes, radicals can't be simplified, so they must be irrational.
O Yes, radicals are irrational.
• No, radicals always simplify to integers, so they are rational.
• No, some radicals simplify to rational numbers.
Answers
GPT-4o mini
Mia is incorrect. The correct answer is:
• No, some radicals simplify to rational numbers.
For example, \( \sqrt{4} = 2 \), which is a rational number. Therefore, it's possible for an expression with a radical to result in a rational sum.
• No, some radicals simplify to rational numbers.
For example, \( \sqrt{4} = 2 \), which is a rational number. Therefore, it's possible for an expression with a radical to result in a rational sum.