Question 1031983: How can I find any irrational numbers between two rational numbers Found 3 solutions by Alan3354, stanbon, ikleyn:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! How can I find any irrational numbers between two rational numbers
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eg, 3 & 4
3^2 = 9
4^2 = 16
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The square root of any integer between 9 & 16, non-inclusive, is irrational.
eg, sqrt(10), sqrt(11)
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That's one way.
You can put this solution on YOUR website! How can I find any irrational numbers between two rational numbers
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Append a non-repeating decimal form to the lower of the two rational numbers.
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Example::
Between 2 and 3 the number 2.10110111011110... is
an irrational greater than 2 and less than 3.
Cheers,
Stan H.
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You can put this solution on YOUR website! .
How can I find any irrational numbers between two rational numbers
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Let "a" and "b" be two rational numbers, with b > a.
Let c = b - a is their difference.
Consider the irrational number and take small part of it, , with an integer "n", so small, that is less than (b-a).
Now consider the number .
It is
1. between "a" and "b", and
2. it is irrational.
It gives the answer to your question.
Thank you for asking.
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