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Adding Consecutive Odd Numbers

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Question

Find the cube root of $512$ by successive subtraction of numbers:

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Solution

$512 - 1 = 511, 511 - 7 = 504, 504 - 19 = 485, 485 - 37 = 448 448 - 61 = 387, 387 - 91 = 296, 296 - 127 = 169, 169 - 169 = 0 T h e r e m a i n d e r 0 i s g o t b y 8 s u c c e s s i v e s u b t r a c t i o n s . C u b e r o o t i s 8$

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