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Earn +20 ptsQ: When an irrational number is divided by a rational number is the quotient rational or irrational?
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Is the quotient of a rational number and an irrational number rational?
No. It's always irrational.
Is the quotient of an irrational number and a rational number always irrational?
No. It is not defined if the rational number happens to be 0.
Can An irrational number divided by an irrational number equals a rational number?
Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
Can a real number that is not a rational number be an irrational number?
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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