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Q: Whether a rational number multiplied by an irrational number gives an irrational number?

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

Yes, unless the rational number is 0.

Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.

Only if the rational number is 0.

Yes, it is possible only if an irrational number is multiplied with 0.

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

An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.

It can be a rational number or an irrational number. For example, sqrt(2)*sqrt(50) = 10 is rational. sqrt(2)*sqrt(51) = sqrt(102) is irrational.

A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.

Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power

The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.

No.

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