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

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



Answer :

Final answer:

Not all radicals result in irrational numbers when added together, as some radicals simplify to rational numbers.


Explanation:

No, some radicals simplify to rational numbers. While radicals represent numbers that are expressed with a root symbol, such as √2, not all of them lead to irrational sums when added together. For example, the square root of 4 ( √4) equals 2, which is a rational number.


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