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Yes, always.
What else can I help you with?
What is the product of a nonzero rational number and an irrational number?
The product will be irrational.
What is product of a nonzero rational number and a irrational number?
It is an irrational number.
Is -2pi rational or irrational?
-2π is an irrational number. While -2 is a rational number, π (pi) is known to be irrational, meaning it cannot be expressed as a fraction of two integers. The product of a nonzero rational number and an irrational number is always irrational, so -2π remains irrational.
Why the product of nonzero rational number and an irrational number is an irrational?
Suppose a is rational (and non-zero) and x is irrational. Suppose ax is rational;write ax = b where b is rational.Then x = b/a, and x would be rational, contradiction.
What describes the quotient of a nonzero rational number and an irrational number?
The quotient of a nonzero rational number and an irrational number is always an irrational number. This is because dividing a rational number (which can be expressed as a fraction of integers) by an irrational number cannot result in a fraction that can be simplified to a rational form. Therefore, the result remains outside the realm of rational numbers.
Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
Is the product of a nonzero rational number and an irrational number rational or irrational?
It is always irrational.
What is product of a nonzero rational number and irrational number is?
It is irrational.
What is the product of a nonzero rational number and an irrational number?
The product will be irrational.
What is product of a nonzero rational number and a irrational number?
It is an irrational number.
The product of nonzero rational number and an irrational number is irrational?
Yes.
Is the product of a nonzero rational number and an irrational number irrational?
Yes, always.
Can you multiply an irrational number by a rational number and the answer is rational?
The product of an irrational number and a rational number, both nonzero, is always irrational
Nonzero rational number and in irrational number makes what?
An irrational number.
Why the product of nonzero rational number and an irrational number is an irrational?
Suppose a is rational (and non-zero) and x is irrational. Suppose ax is rational;write ax = b where b is rational.Then x = b/a, and x would be rational, contradiction.
What is the product of rational and irrational number?
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
Is the product of a rational number and an irrational number rational or irrational?
Such a product is always irrational - unless the rational number happens to be zero.
