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 are irrational.
Yes, radicals are irrational.

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

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

Yes, radicals can’t be simplified, so they must be irrational.

1 answer

Mia is not entirely correct. The correct response is:

No, some radicals simplify to rational numbers.

While many radicals are indeed irrational (like √2), there are also cases where radicals can simplify to rational numbers. For example, √4 = 2, which is rational. Therefore, the sum of expressions involving radicals does not automatically lead to an irrational number.