Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
Rational
irrational number
No. Quite simply an irrational number cannot be written as a fraction and you could write zero as a fraction ex. 0/1
Any real number is either rational or irrational. The rational ones are the ones that can be written in the form a/b where and b are integers and b does not equal 0. The irrational ones are all the other ones. If you expand your domain to include numbers other than the real numbers, like the imaginary numbers for example, there is no definition of "rational" or "irrational" for the non-real numbers. Zero is a rational number since it can be written as 0/1 and both 0 and 1 are integers.
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
Not necessarily. 0 times any irrational number is 0 - which is rational.
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
No, they are not. An irrational number subtracted from itself will give 0, which is rational.
No
Not always. For example: sqrt(2)+(-sqrt(2))=0 which is not irrational.
It is irrational - unless the divisor is 0 in which case the division is not defined.
The question cannot be answered because it is based on a false premise.The product of a (not an!) rational number and an irrational number need not be irrational. For eample, the product ofthe rational number, 0, and the irrational number, pi, is 0. The product is rational, not irrational!
No
No.
Rational.