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 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, some radicals simplify to rational numbers. No, some radicals simplify to rational numbers. No, radicals always simplify to integers, so they are rational.

1 answer

Mia is not correct. The correct response is:

No, some radicals simplify to rational numbers.

For example, \(\sqrt{4} = 2\), which is a rational number. Additionally, in addition expressions, if a radical simplifies to a rational number, the overall expression can be rational. Therefore, not all radicals in an addition expression automatically result in an irrational sum.