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

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Such a product is always irrational - unless the rational number is zero.

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

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If you divide a rational number by an irrational number, or vice versa, you will ALMOST ALWAYS get an irrational result. The sole exception is if you divide zero (which is rational) by any irrational number.

The area of a triangle can be a rational number or an irrational number depending on its dimensions.

Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.

They are both real numbers. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

is it rational because there is a pattern

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A rational number is one that can be expressed as the ratio of two integers with the denominator not being zero. An irrational number is one that is not rational.

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.

NO this number is way far from irrational, first of all let's classify this number, it's an integer, whole number, rational, even a perfect square. This number has two numbers that are not irrational. one example is 11, 11 those numbers are rational so the product can't be irrational.

No. A "rational" number is one that can be expressed as a "ratio" - a fraction. An IRRATIONAL number is one that cannot be expressed as a fraction.

5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!5*sqrt(2) is one irrational number. 1/sqrt(2) is another irrational number.Their product is 5!

An irrational number is a real number that is not rational. A rational number is one that can be expressed as a ratio of two integers. An irrational number cannot be expressed in this way.

Rational.

At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.

A rational number is one that can be expressed as a ratio of two integers, the second of which is not zero. An irrational number is any real number that is not rational.

A rational number is one which can be expressed as a ratio of 2 integers. An irrational number is one that cannot be expressed in such a way.

No, they are two separate groups of numbers. A number is either rational or irrational, never both.

A rational number is one that can be expressed as a ratio of two whole numbers (like a fraction). An irrational number is a real number that is not rational.