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It is irrational - unless the divisor is 0 in which case the division is not defined.

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The result is irrational.

Q: When an irrational number is divided by a rational number is the result rational or irrational?

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If you multiply a rational and an irrational number, the result will be irrational.

Unless the rational number is zero, the answer is irrational.

It is not always irrational.

Yes, but only if the rational number is non-zero.

Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.

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If you multiply a rational and an irrational number, the result will be irrational.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

Unless the rational number is zero, the answer is irrational.

It is not always irrational.

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.

It the combination is multiplication and the rational number is 0, then the result is rational. Otherwise it is irrational.

When the rational number is 0.

Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.

Yes, but only if the rational number is non-zero.

If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.

Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.

If you divide a rational number by an irrational number, or vice versa, you will ALMOST ALWAYS get an irrational result. The sole exception is if you divide zero (which is rational) by any irrational number.