find 3 different irrational number between 5/7and 9/11
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Answered by
3
here is your answer...
hope it helps...
hope it helps...
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bhavesh12345:
please send me solve
Answered by
4
5/7 < 9/11
Square both to get
(25/49) < (81/121)
----------------------
Least common multiple of the fraction denominators is 81*121 because they
share no factors.
---------------------
Rewrite the fractions as
((25*121)/(49/121)) < (81*49)/(81*49))
Simplify to get:
3025/5929 < 3969/5929
-------------
pick some numbers between 3025 and 3969
like 3127, 3255, 3659
------------------------
Form the fractions: 3127/5929, 3255/5929, 3659/5929
----------------------
Take the square root of each:
sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]
------------------------
Each of these will be irrational numbers between 5/7 and 9/11
---------------------
Check any one of them and you will see what I mean.
Square both to get
(25/49) < (81/121)
----------------------
Least common multiple of the fraction denominators is 81*121 because they
share no factors.
---------------------
Rewrite the fractions as
((25*121)/(49/121)) < (81*49)/(81*49))
Simplify to get:
3025/5929 < 3969/5929
-------------
pick some numbers between 3025 and 3969
like 3127, 3255, 3659
------------------------
Form the fractions: 3127/5929, 3255/5929, 3659/5929
----------------------
Take the square root of each:
sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]
------------------------
Each of these will be irrational numbers between 5/7 and 9/11
---------------------
Check any one of them and you will see what I mean.
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