Mia says that anytime there is a radical in an addition expression, it automatically has an irrational number as the sum. Is she correct?

Question

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

Answer 1

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

A. No, some radicals simplify to rational numbers.

For example, the square root of 4 is 2, which is a rational number. Therefore, the presence of a radical in an addition expression does not automatically result in an irrational sum.