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Earn +20 ptsQ: Can An irrational number divided by an irrational number equals a rational number?
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When an irrational number is divided by a rational number is the quotient rational or irrational?
Irrational.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
Are irrational numbers always integers?
No. An irrational number is one that is not a rational number. A rational number is once that equals one integer divided by another. So an irrational number cannot be represented by one integer divided by another integer, so it cannot be an integer!
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.
When an irrational number is divided by a rational number is the result rational or irrational?
It is irrational - unless the divisor is 0 in which case the division is not defined.
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