find the cube root of the following number by successive subtraction of numbers 1, 7, 19, 37, 61, 91, 127, 169, 217,.... (1) 64
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64 – 1 = 63 63 – 7 = 56 56 – 19 =37 37 – 37 = 0 Here, subtraction is performed 4 times. Hence cube root of 64 is 4. (ii) 512 Let’s perform subtraction 512 – 1 = 511 511 – 7 = 504 504 – 19 = 485 485 – 37 = 448 448 – 61 = 387 387 – 91 = 296 296 – 127 = 169 169 – 169 = 0 Here, subtraction performed 8 times. Hence cube root of 512 is 8.
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25/40 (or 5/8), 26/40 (13/20), 27/40, 28/40 (or 7/10), 29/40, 30/40 (or 3/4), 31/40, 32/40 (or 4/5), 33/40, 34/40 (or 17/20).
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