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)

Question

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.

Answer 1

Mia is not correct. The statement "anytime there is a radical in an addition expression, it automatically has an irrational number as the sum" is not true.

The correct response is:

No, some radicals simplify to rational numbers.

For example, the expression \( \sqrt{4} + 1 \) simplifies to \( 2 + 1 = 3 \), which is a rational number. Additionally, not all radicals are irrational; some can be simplified to integers or rational numbers.