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

• No, radicals always simplify to integers, so they are rational.
• No, some radicals simplify to rational numbers
• Yes, radicals can't be simplified, so they must be irrational.
• Yes, radicals are irrational.

Answer 1

Mia's statement is not entirely correct. The correct answer is:

No, some radicals simplify to rational numbers.

For example, \(\sqrt{4} = 2\), which is a rational number. Additionally, even if you have a radical present in an addition expression, it does not necessarily mean that the sum will be irrational, as some combinations can result in rational outcomes.