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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.
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The sum of rational numbers and an irrational number?
It is always an irrational number.
Is the quotient of two irrational numbers is irrational?
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.
Are whole numbers rational or irrational?
Whole numbers are always rational
What is an irrational plus two rational numbers?
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.
Is a whole number always never or sometimes an irrational number?
Whole numbers can never be irrational.
Are numbers below 0.833 always irrational numbers?
No, numbers less than 0.833 are not always irrational. For instance, 0.2 isn't an irrational number
Are Irrational numbers are always integers.?
No. In fact, integers are never Irrational Numbers.
Is the quotient of two irrational numbers always irrational?
yes
Is real number is always a rational number?
They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.
The sum of rational numbers and an irrational number?
It is always an irrational number.
Is the quotient of two irrational numbers is irrational?
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.
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
Are whole numbers rational or irrational?
Whole numbers are always rational
What statement about rational and irrational numbers is always true?
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
Are irrational numbers always non terminating?
yes
Which numbers are always irrational?
Those that can not be expressed as fractions
What is an irrational plus two rational numbers?
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.
