Answer :
-3+3 = 0 is an example of adding two rational numbers to get another rational number.
-3 = -3/1
3 = 3/1
0 = 0/1
each can be written as a fraction of whole numbers, so that's why they are rational
The actual answer is choice C
We are adding the square root of 10, written sqrt(10) in shorthand, to the negative version of the same number. Doing so leads to 0. This is using the property x + (-x) = 0. The left hand side of choice C has two irrational numbers. They add to 0 on the right hand side which is rational. The fact that we added two irrational numbers to get an rational result indicates that irrational numbers are not closed under addition.
-3 = -3/1
3 = 3/1
0 = 0/1
each can be written as a fraction of whole numbers, so that's why they are rational
The actual answer is choice C
We are adding the square root of 10, written sqrt(10) in shorthand, to the negative version of the same number. Doing so leads to 0. This is using the property x + (-x) = 0. The left hand side of choice C has two irrational numbers. They add to 0 on the right hand side which is rational. The fact that we added two irrational numbers to get an rational result indicates that irrational numbers are not closed under addition.