Answer:
A, B, D and E
Explanation:
Given
Options A to F
Required
Determine which is true
Option A:
This is always true;
Take for instance the following rational numbers
This will always result in a rational number
Option B:
This is always true;
Take for instance the following rational number
And the following irrational number
This will always result in an irrational number
Option C:
This is not always true;
1. Take for instance the following irrational numbers
2. Take for instance the following irrational numbers
From the above examples, this implies that the statement is not always true
D.
This is always true;
Take for instance the following rational numbers
This will always result in a rational number
E.
This is always true;
Take for instance the following rational number
And the following irrational number
This will always result in an irrational number
F.
This is not always true;
1. Take for instance the following irrational numbers
2. Take for instance the following irrational numbers
From the above examples, this implies that the statement is not always true