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)

Responses

No, radicals always simplify to integers, so they are rational.
No, radicals always simplify to integers, so they are rational.

Yes, radicals can’t be simplified, so they must be irrational.
Yes, radicals can’t be simplified, so they must be irrational.

Yes, radicals are irrational.
Yes, radicals are irrational.

No, some radicals simplify to rational numbers.

1 answer

Mia is not correct. The accurate response is:

No, some radicals simplify to rational numbers.

For example, \(\sqrt{4} = 2\), which is a rational number. Additionally, when adding rational numbers, the sum can be rational even if one or more of the terms are radicals that simplify to rational values.