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

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

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.

No, some radicals simplify to rational numbers.

Answer 1

Mia's statement is not entirely correct. While it is true that many radicals (such as the square root of a non-perfect square) are irrational numbers, there are also cases where radicals can simplify to rational numbers.

For example:

• \( \sqrt{4} = 2 \) (which is rational)
• \( \sqrt{9} = 3 \) (which is rational)

Therefore, the correct response is:

No, some radicals simplify to rational numbers.