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.
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.
Answers
GPT-4o mini
Mia 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. Similarly, the square root of a perfect square always yields a rational number. Therefore, it is not true that any expression with a radical always results 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. Similarly, the square root of a perfect square always yields a rational number. Therefore, it is not true that any expression with a radical always results in an irrational sum.