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 can't be simplified, so they must be irrational. Yes, radicals can't be simplified, so they must be irrational. Yes, radicals are irrational
Answers
GPT-4o mini
Mia's statement is not correct. The accurate choice is:
**No, some radicals simplify to rational numbers.**
For example, \(\sqrt{4} = 2\), which is a rational number. Additionally, when adding rational numbers (including some radicals that simplify to rational numbers), the sum can also be rational. Thus, having a radical in an addition expression does not automatically mean the sum is irrational.
**No, some radicals simplify to rational numbers.**
For example, \(\sqrt{4} = 2\), which is a rational number. Additionally, when adding rational numbers (including some radicals that simplify to rational numbers), the sum can also be rational. Thus, having a radical in an addition expression does not automatically mean the sum is irrational.