Question

find three different irrational number between the rational number 5 upon 7 and 9 upon 11

Answer 1

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5/7 < 9/11
Square both to get
(25/49) < (81/121)
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Least common multiple of the fraction denominators is 81*121 because they
share no factors.
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Rewrite the fractions as
((25*121)/(49/121)) < (81*49)/(81*49))
Simplify to get:
3025/5929 < 3969/5929
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pick some numbers between 3025 and 3969
like 3127, 3255, 3659
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Form the fractions: 3127/5929, 3255/5929, 3659/5929
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Take the square root of each:
sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]
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Each of these will be irrational numbers between 5/7 and 9/11
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Check any one of them and you will see what I mean.



Hope it's helpful! !

Answer 2

BETWEEN 5 AND 7

5.1010011000111
5.2020022000222
5.3030033000333

BETWEEN 9 AND 11

9.10110011100011110000
9.30330033300033330000
9.50550055500055550000