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

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No. It's always irrational.

No. It is not defined if the rational number happens to be 0.

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

No. sqrt(2)/pi is not rational.

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.

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No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.

No. It's always irrational.

No. It is not defined if the rational number happens to be 0.

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero.

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No. sqrt(2)/pi is not rational.

As written, it is a terminating decimal, which can be converted to a quotient(fraction) . Hence it is rational. However, if 0.678667866678.... then it is recurring to infinity . , Since it will not convert to a quotient/fraction , then it is irrational.

None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.

Rational number can be divided into more that the number 2. Irrational number are numbers that can only be divided evenly with the number 2.