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1 + sqrt(2) and 3 - sqrt(2)

Their sum is 4

Thier product is 1 + 2*sqrt(2)

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โˆ™ 2009-11-20 18:07:56
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Q: Give 2 real numbers whose sum is a rational number and whose product is an irrational number?
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Related Questions

Is the product of two rational numbers irrational?

The product of two rational number is always rational.


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.


Why is the product of two rational number irrational?

The question is nonsense because the product of two rational numbers is never irrational.


The rational numbers are a subset of the irrational numbers?

No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.


Why is the product of a rational number and an irrational number irrational?

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!


Is the product of a rational number and an irrational number always irrational?

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.


Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.


Are rational numbers is an irrational numbers?

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.


What is the product of one irrational number and one rational number?

Provided that the rational number is not 0, the product is irrational.


List of rational and irrational numbers?

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.


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.


Is 10x 3.14 irrational?

The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.


Does there exist an irrational number such that its square root is rational?

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


Is the product of a rational number and irrational number always rational?

No.A rational times an irrational is never rational. It is always irrational.


Is the product of an irrational number and a rational number always an irrational number?

Not if the rational number is zero. In all other cases, the product 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.


What is the product of a nonzero rational number and an irrational number?

The product will be irrational.


What is the classification of the product of a rational and an irrational number?

If you multiply a rational and an irrational number, the result will be irrational.


Is there any number x such that xยฒ is an irrational number and x's is a rational number?

no x² is the product of 2 rational numbers in this case the same 2 numbers x and x The product of two rational numbers is always rational.


What is the Next to rational and irrational number?

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).


Is the product of three rational numbers rational or irrational?

A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.


What will be the sum of a rational number and an irrational number?

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.