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What two different irrational numbers divide to equal a rational number?
Wiki User
∙ 12y ago
There are infinitely many answers, eg:
- √8 ÷ √18 = 2/3
- √12 ÷ √108 = 1/3
Wiki User
∙ 12y ago
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Is 10.46 irrational?
it is not irrational. This is because there are two non irrational numbers that divide each other that are rational. So 10.46 is rational.
Can you divide two irrational numbers to get a rational number?
Yes. sqrt(18)/sqrt(2) = 3*sqrt(2) / sqrt(2) = 3
What happens when you add subtract multiply and divide rational numbers?
If you add, subtract or multiply rational numbers, the result will be a rational number. It will also be so if you divide by a non-zero rational number. But division by zero is not defined.
Are irrational numbers closed under division?
No. 4 root 2 and 2 root 2 are both irrational. Divide the first by the second you get 2. Which is not a member of the set of irrational numbers.
Can rational numbers have 0 as a denominator?
No, because you cannot divide by zero.
Is 10.46 irrational?
it is not irrational. This is because there are two non irrational numbers that divide each other that are rational. So 10.46 is rational.
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
Can you divide a rational number by an irrational number and the answer is irrational?
Yes.
If you divide a rational number by an irrational number is the result irrational?
It is not always irrational.
How do you find fractions between rational numbers?
All fractions are rational numbers because irrational numbers can't be expressed as fractions
Is 025 rational?
yes, it is rational because it isnt neverending. irrational numbers are neverending like pi which is 3.14-----------------------------------. it basically never ends. rationals such as 25 over 100 end if you divide 100 into 25. sources: my algebra book
Is -13.5 an irrational number?
yes because two rational numbers divide to get that number. Wich are for example 27/-2, therefore -13.5 is rational.
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.
Is 5 over pi a rational or irrational number?
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.
Can you divide a rational number by an irrational number and the answer is rational?
Yes, but only if the starting rational number is 0.
Is 67 divided by a rational or irrational?
You can divide 65 by rationals and irrationals: Divided by a rational: 65 ÷ 13/2 = 10 Divided by an irrational: 65 ÷ √13 = 5√13
Are there more rational 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.
