The product of a non-zero rational number and an irrational number is always an irrational number.

Here's why:

1. A rational number is any number that can be expressed as the quotient (or fraction) of two integers. For example, 1/2, 2, and -3 are all rational numbers.

2. An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include the square root of 2 and pi.

3. When you multiply a non-zero rational number by an irrational number, the result is an irrational number. This is because the product of a non-zero number and an irrational number cannot be expressed as a fraction of two integers, which is the definition of a rational number.

For example, if we multiply 2 (a rational number) by the square root of 2 (an irrational number), the result is 2 times the square root of 2, which

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The product of a non-zero rational number and an irrational number is always an irrational number.

Here's why:

1. A rational number is any number that can be expressed as the quotient (or fraction) of two integers. For example, 1/2, 2, and -3 are all rational numbers.

2. An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include the square root of 2 and pi.

3. When you multiply a non-zero rational number by an irrational number, the result is an irrational number. This is because the product of a non-zero number and an irrational number cannot be expressed as a fraction of two integers, which is the definition of a rational number.

For example, if we multiply 2 (a rational number) by the square root of 2 (an irrational number), the result is 2 times the square root of 2, which

Knowee AI · Accepted Answer

The product of a non-zero rational number and an irrational number is always an irrational number.

Here's why:

1. A rational number is any number that can be expressed as the quotient (or fraction) of two integers. For example, 1/2, 2, and -3 are all rational numbers.

2. An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include the square root of 2 and pi.

3. When you multiply a non-zero rational number by an irrational number, the result is an irrational number. This is because the product of a non-zero number and an irrational number cannot be expressed as a fraction of two integers, which is the definition of a rational number.

For example, if we multiply 2 (a rational number) by the square root of 2 (an irrational number), the result is 2 times the square root of 2, which

The product of a non-zero rational and an irrational number is:*

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