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)
Responses
Yes, radicals can’t be simplified, so they must be irrational.
Yes, radicals can’t be simplified, so they must be irrational.
Yes, radicals are irrational.
Yes, radicals are irrational.
No, radicals always simplify to integers, so they are rational.
No, radicals always simplify to integers, so they are rational.
No, some radicals simplify to rational numbers.
No, some radicals simplify to rational numbers.
Responses
Yes, radicals can’t be simplified, so they must be irrational.
Yes, radicals can’t be simplified, so they must be irrational.
Yes, radicals are irrational.
Yes, radicals are irrational.
No, radicals always simplify to integers, so they are rational.
No, radicals always simplify to integers, so they are rational.
No, some radicals simplify to rational numbers.
No, some radicals simplify to rational numbers.
Answers
GPT-4o mini
Mia's statement is incorrect. The correct response is:
**No, some radicals simplify to rational numbers.**
For example, the square root of 4 is 2, which is a rational number. Therefore, not all expressions containing radicals result in an irrational sum.
**No, some radicals simplify to rational numbers.**
For example, the square root of 4 is 2, which is a rational number. Therefore, not all expressions containing radicals result in an irrational sum.