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 is incorrect. The correct response is:

No, some radicals simplify to rational numbers.

For example, \(\sqrt{4} = 2\), which is a rational number. Not all radicals are irrational; some can be perfect squares, cubes, etc., which results in rational numbers.