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

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โˆ™ 2014-02-23 20:53:21
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Q: When you multiply two irrational numbers the result is called what?
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Related Questions

Is the set of irrational numbers closed under mulriplication?

No. You can well multiply two irrational numbers and get a result that is not an irrational number.


What is the result called when you multiply two numbers?

When you multiply two numbers, it is called the product.


Is this true when you multiply two numbers the result vis called factor?

the PRODUCT is the result when you multiply two numbers.


When you multiply two numbers what do you call the two numbers that you multiply?

The two (or more) numbers that you multiply are called factors. (The result of the multiplication is called the product.)


Turn irrational number into rational number by multiplication?

Multiply it by 0. The result is 0, which is rational.That is the only way that will work with all irrational numbers.


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.


What is 25x45x22?

You can multiply the first two numbers, then multiply the result with the third number. Or multiply in any other order.You can multiply the first two numbers, then multiply the result with the third number. Or multiply in any other order.You can multiply the first two numbers, then multiply the result with the third number. Or multiply in any other order.You can multiply the first two numbers, then multiply the result with the third number. Or multiply in any other order.


Irrational number when multiplied by 0.4?

If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.


If three irrational numbers added together is the result irrational number?

You can not add irrational numbers. You can round off irrational numbers and then add them but in the process of rounding off the numbers, you make them rational. Then the sum becomes rational.


Is negative pi rational or irrational?

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.


Are irrational numbers closed under multiplication?

No. To say a set is closed under multiplication means that if you multiply any two numbers in the set, the result is always a member of the set. If, say, the 2 numbers are radical 2 and radical 2 we have (1.4142...)(1.4142...) which by definition equals 2. The result is not an irrational number, so the set is not closed.


How can you turn an irrational number into a rational number?

Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.


What is the combination of rational numbers and irrational?

It the combination is multiplication and the rational number is 0, then the result is rational. Otherwise it is irrational.


How are perfect squares and irrational squares same?

No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.


What number closest to 3 that is irrational?

The set of irrational numbers is infinitely dense. As a result there are infinitely many irrational numbers between any two numbers. So, if any irrational number, x, laid claim to be the closest irrational number to 3, it is possible to find infinitely many irrational numbers between x and 3. Consequently, the claim cannot be valid.


When is irrational numbers used in modern jobs?

Irrational numbers are used in some scientific jobs. Commonly used irrational numbers are pi, e, and square roots of different numbers. Of course, if an actual numerical result has to be calculated, the irrational number is rounded to some rational (usually decimal) approximation.


Are there more rational numbers than irrational numbers?

The answer requires a bit of mathematics, but goes like this:The product of any 2 rational numbers is a rational number.The product of any 2 irrational number is an irrational number.The product of a rational and an irrational number is an irrational number!Therefore simple logic tells us that there are more irrational numbers than rational numbers. There is a way to structure this mathematically, and I believe it is called an "Inductive Proof".Interesting !I'm going to say "No".I reason thusly:-- For every rational number 'N', you can multiply or divide it by 'e', add it to 'e',or subtract it from 'e', and the result is irrational.-- You can multiply or divide it by (pi), add it to (pi), or subtract it from (pi),and the result is irrational.-- You can take its square root, and more times than not, its square root is irrational.There may be others that didn't occur to me just now. But even if there aren't,here are a bunch of irrational numbers that you can make from every rational one.This leads me to believe that there are more irrational numbers than rational ones.-------------------------------------------------------------------------------------------------------There are infinitely many more irrationals than rationals; this was proved by G. Cantor (born 1845, died 1918). His proof is basically:The rational numbers can be listed by assigning to each of the counting numbers (1, 2, 3,...) one of the rational numbers in such a way that every rational number is assigned to at least one counting number;If it is assumed that every irrational number can be assigned to at least one counting numbers (like the rationals), then with such a list it is possible to find an irrational number that is not on the list; so is it not possible as there are more irrationals than there are counting numbers, which has shown to be the same size as the rational numbers, thus showing that there are more irrationals than rationals.


Does multiplying rational and irrational numbers lead to an irrational number result?

Yes, but only if the rational number is non-zero.


What are irrational numbers closed under?

Irrational numbers are not closed under any of the fundamental operations. You can always find cases where you add two irrational numbers (for example), and get a rational result. On the other hand, the set of real numbers (which includes both rational and irrational numbers) is closed under addition, subtraction, and multiplication - and if you exclude the zero, under division.


What is the result of multiplying numbers called?

The result of multiplying numbers is called the product.


What is -3x5?

The answer is -15. Here are the sign rules to multiplication. If you multiply two numbers with the same sign, the result will be positive. If you multiply two numbers with opposite signs, the result will be negative.


How do you multiply number starting from 1 to 50?

You multiply 1 x 2. Then you multiply the result with the next number: 2 x 3 = 6. Then you multiply the result with the next number: 6 x 4 = 24. You continue, until you have multiplied all the numbers.You multiply 1 x 2. Then you multiply the result with the next number: 2 x 3 = 6. Then you multiply the result with the next number: 6 x 4 = 24. You continue, until you have multiplied all the numbers.You multiply 1 x 2. Then you multiply the result with the next number: 2 x 3 = 6. Then you multiply the result with the next number: 6 x 4 = 24. You continue, until you have multiplied all the numbers.You multiply 1 x 2. Then you multiply the result with the next number: 2 x 3 = 6. Then you multiply the result with the next number: 6 x 4 = 24. You continue, until you have multiplied all the numbers.


What are 5 attributes of irrational numbers?

They are not rational, that is, they cannot be expressed as a ratio of two integers.Their decimal equivalent is infinitely long and non-recurring.Together with rational numbers, they form the set of real numbers,Rational numbers are countably infinite, irrational numbers are uncountably infinite.As a result, there are more irrational numbers between 0 and 1 than there are rational numbers - in total!


What can you conclude about multiplication with negative numbers?

If you multiply a negative number with a positive number, the result will be negative. If you multiply two negatives, the result will be positive.


When two numbers multiply the result increases but when multiply half and half the result is quarter that is decreases how with brief explanation?

...but if you multiply a whole number by a half the result decreases. Half of anything is less than that thing!