Consider the following statements. Select all that are always true. - The sum of a rational number and a rational number is rational.
- The sum of a rational number and an irrational number is irrational.
- The sum of an irrational number and an irrational number is irrational. - The product of a rational number and a rational number is rational.
- The product of a rational number and an irrational number is irrational. - The product of an irrational number and an irrational number is irrational.

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

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

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step-by-step explanation: