Insert a rational number and irrational number between 2.357 and 3.121

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Solution

Dear Student,

$2.357 = \frac{2357}{1000} 3.121 = \frac{3121}{1000} A r a t i o n a l n u m b e r b e t w e e n 2.357 a n d 3.121 = A r a t i o n a l n u m b e r b e t w e e n \frac{2357}{1000} a n d \frac{3121}{1000} T h e a n s w e r c a n b e \frac{2489}{1000}, \frac{3056}{1000}, \frac{2894}{1000}, e t c A n i r r a t i o n a l n u m b e r b e t w e e n 2.357 a n d 3.121 c a n b e a n y o f t h e f o l l o w i n g : 2.487961684698541 . . . 3.025468785458656 . . . 2.896154133136548 . . .$

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