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Can you multiply two irrational numbers to get a rational number?
Wiki User
∙ 12y ago
Yes, for example sqrt(2) * sqrt(18) = 6.
Note: here sqrt(n) represents the square root (second root) of n.
To simplify this expression we obtain:
sqrt(2) * sqrt(18) = sqrt(2) * sqrt(2) * sqrt(9) = 2 * 3 = 6.
Generally, it is easy to create cases where two or more Irrational Numbers are multiplied to create a rational number using roots. The definition of the root clearly relates it back to rational numbers. This task becomes more difficult and even impossible if certain combinations of numbers are not allowed (e.g. transcendental numbers, no direct roots, etc.).
Wiki User
∙ 12y ago
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How do you turn an irrational number in to a rational number?
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
Is -6.3 rational or irrational?
-6.3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is the number -6.7 a rational or irrational number?
Rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Are there more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
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.
Can you multiply three irrational numbers to get a rational number?
no
How do you turn an irrational number in to a rational number?
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
What irrational numbers can turn into a rational number?
No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.
When you multiply an irrational number by a rational number will the answer always be irrational rational or both?
It will be irrational.
Can irrational numbers be rational numbers?
No. If it was a rational number, then it wouldn't be an irrational number.
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.
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.
Is negative 2pi a rational number?
No. The number pi is irrational, and if you multiply an irrational number by a non-zero rational number (in this case, -2), you will get another irrational number.As a general guideline, most calculations that involve irrational numbers will again give you an irrational number.
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.
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.
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.
Can you multiply irrational numbers to get a rational number?
yes pi*(1/pi) = 1
