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

1 answer

Mia is not correct. The statement that any time there is a radical in an addition expression, it automatically has an irrational number as the sum is false.

The correct response is: No, some radicals simplify to rational numbers.

For example, the square root of 4 is 2 (a rational number), and if you add it to 5, the sum is 7 (also rational). Therefore, not all addition expressions involving radicals yield irrational sums.