No. It's always irrational.
Irrational.
No. It is not defined if the rational number happens to be 0.
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
No.A rational times an irrational is never rational. It is always irrational.
Irrational.
No. It is not defined if the rational number happens to be 0.
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.
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
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.
It's rational. It can be written as the quotient of two numbers whose HCF is one.
No.The definition of a rational number is a number that can be written as the quotient of two integers (and the divisor is not zero).The definition of an irrational number is a real number that cannot be written as the quotient of two integers (and the divisor is not zero).A number can either be written as the quotient of two integers or it can't. One or the other.A number cannot be both rational and irrational.
Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.
The statement is false; in fact, no irrational number can be exactly expressed as a quotient of integers because this property is the definition of rational numbers.
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.
Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.
10.01 is a rational number