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