Question

sums & products of rational & irrational numbers quick check
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)

yes, radicals are irrational.

no, some radicals simplify to rational numbers.

yes, radicals cant be simplified, so they must be irrational.

no, radicals always simplify to integers, so they are rational.

Explanation:

Mia's claim is incorrect because not all radicals represent irrational numbers. Some radicals simplify to rational numbers (e.g., $\sqrt{4}=2$, a rational number). Adding such radicals can result in a rational sum, so her blanket statement is wrong.

Answer:

No, some radicals simplify to rational numbers.