SOLUTION: How do you find an irrational number between two other numbers -ex: 0.142 and 0.143 Thank you , Ashley

Question 482770: How do you find an irrational number between two other numbers -ex: 0.142 and 0.143 Thank you , Ashley
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I'll write the numbers given as fractions:

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Multiply both sides by

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If I add to top and bottom
of
. . .
is less than , and, since both
and are prime,
the result is irrational