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Can a rational number be multiplied by an irrational number and equal a rational number?
Only if the rational number is 0.
Can the subtraction of a rational and an irrational number equal to an irrational number?
No.
What does The sum of a rational number and irrational number equal?
The sum is irrational.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Can an irrational number minus a rational number equal an irrational number?
Yes, it will always be irrational.
Can a rational number be multiplied by an irrational number and equal a rational number?
Only if the rational number is 0.
Is an irrational number plus an irrational number equal a rational or an irrational number?
An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.
Can the subtraction of a rational and an irrational number equal to an irrational number?
No.
Does a rational number times an irrational number equal a rational number?
No. If the rational number is not zero, then such a product is irrational.
What does The sum of a rational number and irrational number equal?
The sum is irrational.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Does an irrational number plus a rational number equal an irrational number?
Yes
Can an irrational number minus a rational number equal an irrational number?
Yes, it will always be irrational.
Can a rational number plus an irrational number equal a rational number?
No, never.
Does an irrational plus a rational number equal an irrational number?
Yes, always.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Why does a rational number plus an irrational number equal an irrational number?
from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.
