(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the 5th root of 36 accurate to four decimal places

2. Relevant equations

xn+1 = xn - f(xn)/f'(xn)

3. The attempt at a solution

First I attempted to write the fifth root of 36 in exponential form as show below:

Let the 5th root of 36 = x

Let f(x) = x^1/5 - 36

So, f'(x) = 1/5x^-4/5 Is this right so far?

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# Newtons Method and Finding the 5th root

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