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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.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
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.
What happens when a rational number is divided by an irrational number?
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
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.
What is the deifition for irrational 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.
Why is 4 divided by 9 an irrational number?
0.4444
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
Is 0.678667866678 rational or irrational number?
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.
What number is both rational and 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.
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.
How can you compare rational and irrational numbers?
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.
