Mia's statement is not necessarily correct. The presence of a radical in an addition expression does not automatically mean that the sum is an irrational number.
For instance, consider the expression:
\[ \sqrt{4} + \sqrt{4} = 2 + 2 = 4 \]
In this case, \(\sqrt{4}\) is 2, which is a rational number, so the sum is also rational.
Another example is:
\[ \sqrt{2} + (-\sqrt{2}) = 0 \]
Here, the sum is 0, which is also a rational number.
However, if you take two irrational numbers that are not additive inverses, like \(\sqrt{2}\) and \(\sqrt{3}\):
\[ \sqrt{2} + \sqrt{3} \]
This sum is indeed irrational.
In summary, while it's true that some sums involving radicals can be irrational, it is not a rule that any addition expression with radicals will always result in an irrational number. The specific values and operations involved must be examined to determine the nature of the sum.
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