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You get a product which can be rational or irrational.

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Q: What happens when two irrational numbers are multiplied?
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Which number produces an irrational number when multiplied by?

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.


What number produces an irrational number when multiplied by 0.4?

Every irrational number, when multiplied by 0.4 will produce an irrational number.


If you add two irrational numbers do you get an irrational number?

Not necessarily. The sum of two irrational numbers can be rational or irrational.


What two irrational numbers make a rational number?

The simplest example (of infinitely many) is probably the squareroot of two multiplied by itself equals two. Take any rational number, say 4.177 and divide it with any irrational number, say the square root of 13, and you will get a new irrational number. The product of your two irrational numbers now make a rational number.


Does an irrational number multiplied by an irrational number equal an irrational number?

The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.


When you multiply two irrational numbers the result is called what?

If you multiply two irrational numbers, the result can be rational, or irrational.


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.


Can the product of any two irrational numbers be a rational number?

Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.


If two different irrational numbers are multiplied the result is an irrational number?

Sometimes yes, sometimes no. sqrt(2) x sqrt(8) = 4 rational sqrt(2) x sqrt(3) = sqrt(6) irrational


Sum of two irrational numbers?

Can be rational or irrational.


Which of the following numbers are irrational?

Any of the numbers which cannot be expressed as a ratio of two integers is irrational.


How do use irrational numbers in a sentence?

Pi and the square root of two are irrational numbers.