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 are irrational.

Yes, radicals are irrational.

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.

1 answer

Mia's statement is not correct. The correct response is:

No, some radicals simplify to rational numbers.

Many radicals can simplify to integers or fractions, which are rational numbers. For example, √4 = 2, and √(1/4) = 1/2, both of which are rational. Therefore, it is not accurate to say that any addition expression containing a radical will necessarily result in an irrational sum.