Every number that can be expressed as a ratio of the two numbers is a rational number, and the calculation to the points can be defined as follows:
For point A:
[tex]\to - \sqrt{2} \times 12 = - 12 \sqrt{2}[/tex] is not a rational.
For point B:
[tex]\to - \sqrt{2} \times \sqrt{2} = - 4[/tex] is a rational.
since it can be expressed as a quotient of 2 integers.
Example:
[tex]\to -4 =- \frac{8}{2}[/tex]
For point C:
[tex]\to - \sqrt{2} \times (0) =0[/tex] that is a rational.
since it can be expressed as a quotient of 2 integers.
Example:
[tex]\to 0 =\frac{0}{1}[/tex]
For point D:
[tex]\to - \sqrt{2} \times (2) = -2\sqrt{2}[/tex] that is not a rational.
Therefore, the answer is "Option B and Option C".
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brainly.com/question/7100815
