Answer:
A, B, D and E
Step-by-step explanation:
Given
Options A to F
Required
Determine which is true
Option A:
This is always true;
Take for instance the following rational numbers




<em>This will always result in a rational number</em>
<em></em>
Option B:
This is always true;
Take for instance the following rational number
And the following irrational number



<em>This will always result in an irrational number</em>
Option C:
This is not always true;
1. Take for instance the following irrational numbers



<em></em>
2. Take for instance the following irrational numbers



<em>From the above examples, this implies that the statement is not always true</em>
<em></em>
D.
This is always true;
Take for instance the following rational numbers



<em>This will always result in a rational number</em>
<em></em>
E.
This is always true;
Take for instance the following rational number
And the following irrational number



<em>This will always result in an irrational number</em>
F.
This is not always true;
1. Take for instance the following irrational numbers



<em></em>
2. Take for instance the following irrational numbers



<em>From the above examples, this implies that the statement is not always true</em>