Friday, 30 August 2013

mathematics - Rendering the number 10,958 with the string 1 2 3 4 5 6 7 8 9


Brazilian mathematician Inder Taneja has found a way of expressing every number between 1 and 11,111, except 10,958, by inserting mathematical operators in between the numbers 1 2 3 4 5 6 7 8 9 and evaluating the expression. He did so using the four basic arithmetic operations, exponentiation, concatenation, and brackets, but avoiding factorials, square roots, and decimals. If these last three operations are allowed, can 10,958 be likewise expressed?



Answer



Taking from




$(1 + 2 + 34) \times (5 × 6 + 7) \times 8 + 9 = 10961$



We have



$(1 + 2 + 34) \times (5 × 6 + 7) \times 8 + (\sqrt{9})! = 10958$



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