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quick methods to obtain cube root of a number

quick methods to obtain cube root of a number

Grade:

2 Answers

Priyansh Goel
21 Points
11 years ago

cube root of a number p is given by p1/3,p1/3w,p1/3w2.

Anurag Kishore
37 Points
11 years ago

One of the method you may use is differential approximation

f(x + $x) - f(x) = f/(x) . $x   --------------------------(1)

for eg

Find cube root of 126

Let x =125   and  $x = 1

Let   f(x) = x1/3

=>   f/(x) = 1/3 x-2/3

From (1)

f (126) - f(125) = 1/3 (125-2/3) . 1

=> 1261/3 - 1251/3 = 1/3 . 1/25

=> 1261/3 = 5 + 1/75 = 5.0133

You can check its truth by calculator

 

Note - You can use this method to find even hihger order roots or even values of tan 46 etc.

 

 

Thanks

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