Question

The percentage error of fifth root of 31 is approximately how many times the percentage error in 31?

Answer 1

Answer:

The percentage error of fifth root of 31 is

1/n times the percentage error in the number.

So n=5

1/n= 1/5.

Answer 2

The percentage error of fifth root of 31 is approximately (1/5) times the percentage error in 31

Step-by-step explanation:

As we know that The percentage error of nth root of any number  is approximately 1/n times the percentage error in number

or

As we know  that if number = xⁿ   then % error in xⁿ  = n times the (% error in x)

so we can say that The percentage error of nth root of any number  is approximately 1/n times the percentage error in number

fifth root of 31  = 31^(1/5)    here x = 31  & n = (1/5)

Hence The percentage error of fifth root of 31 is approximately (1/5) times the percentage error in 31

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