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, 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.

1 answer

Mia is not correct. The appropriate response is:

No, some radicals simplify to rational numbers.

For example, \(\sqrt{4} = 2\), which is a rational number. Additionally, while many radicals are indeed irrational (like \(\sqrt{2}\) or \(\sqrt{3}\)), not all radicals are irrational, as some radicals can simplify to whole numbers or fractions, which are rational.