What number can you multiply by −√2 to get a rational number? select each correct answer. a. 12 b. √2 c. 0 d. 2

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:

is not a rational.

For point B:

is a rational.

since it can be expressed as a quotient of 2 integers.

Example:

For point C:

that is a rational.

since it can be expressed as a quotient of 2 integers.

Example:

For point D:

that is not a rational.

Therefore, the answer is "Option B and Option C".

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we know that

A rational number is any number that can be expressed as a ratio of two integers

so

case A)

-----> is not a rational number

case B)

-----> is a rational number

because can be written as a quotient of two integer numbers. For example

case C)

-----> is a rational number

because can be written as a quotient of two integer numbers. For example

case D)

-----> is not a rational number

therefore

the answer is

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