Insert five rational number between:5/7 and 4/9
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√5/7 < x < 4/9 square everything 5/49 < x2 < 16/81 get a common denominator for the endvalues so we can compare them 405/3969 < x2 < 784/3969 Choose 5 numbers between 405 and 784 that are perfect squares. x2 = 441/3969, 484/3969, 529/3969, 576/3969, 625/3969 x = 21/63 ( which reduces to 1/3), 22/63, 23/63, 24/63, 65/63 These are 5 possible answers
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