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.

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

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

Yes, radicals are irrational.

1 answer

Mia is incorrect. The correct response is:

No, some radicals simplify to rational numbers.

For example, √4 = 2, which is a rational number, and therefore, the sum can also be rational if added to another rational number. Not all radicals result in irrational numbers.