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
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.
Yes, radicals are irrational
Yes, radicals are irrational
Yes, radicals can't be simplified, so they must be irrational.
Responses
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.
Yes, radicals are irrational
Yes, radicals are irrational
Yes, radicals can't be simplified, so they must be irrational.
Answers
GPT-4o mini
Mia is incorrect in her statement. The correct response is:
**No, some radicals simplify to rational numbers.**
For example, \(\sqrt{4} = 2\) is a radical that simplifies to a rational number. Therefore, not all expressions containing radicals result in an irrational sum.
**No, some radicals simplify to rational numbers.**
For example, \(\sqrt{4} = 2\) is a radical that simplifies to a rational number. Therefore, not all expressions containing radicals result in an irrational sum.