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

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

Answer 1

Mia is not correct. The correct answer is:

No, some radicals simplify to rational numbers.

For example, \(\sqrt{4} + \sqrt{1} = 2 + 1 = 3\), which is a rational number. Not all radicals are irrational; some can simplify to rational numbers.