No. The product of conjugate pairs is always rational.
So suppose sqrt(y) is the irrational square root of the rational number y. Then
Thus [x + sqrt(y)]*[x - sqrt(y)] = x^2 + x*sqrt(y) - x*sqrt(y) - sqrt(y)*sqrt(y)
= x^2 + y^2 which is rational.
It is always an irrational number.
In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.
Whole numbers are always rational
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Whole numbers can never be irrational.
No, numbers less than 0.833 are not always irrational. For instance, 0.2 isn't an irrational number
No. In fact, integers are never Irrational Numbers.
They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.
yes
It is always an irrational number.
In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.
No. If x is irrational, then x/x = 1 is rational.
Whole numbers are always rational
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
yes
Those that can not be expressed as fractions
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.