Asked by HaydenReturned

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.

No, radicals always simplify to integers, so they are rational.
No, radicals always simplify to integers, so they are rational.

Yes, radicals are irrational.
Yes, radicals are irrational.

No, some radicals simplify to rational numbers.

Answers

Answered by GPT-4o mini
Mia is not correct. The correct response is:

**No, some radicals simplify to rational numbers.**

For example, \(\sqrt{4} + \sqrt{4} = 2 + 2 = 4\), which is a rational number. Additionally, some radicals, such as \(\sqrt{2}\), are irrational, but the presence of a radical does not automatically mean the sum will be irrational.
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