What is the approximation for the cube root of 8132?

Anonymous

∙ 9y ago

Updated: 10/17/2024

203 = 8000

Let f(x) = 8132 - x3

then f'(x) = the derivative of f(x) = -3x2

Using Newton-Raphson method, a better estimate is 20 - f(x)/f'(x)

= 20 - 132/(-3*202)

= 20 + 132/1200 = 20 + 11/100 = 20.11

Wiki User

∙ 12y ago

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