Use a calculator to write a four-decimal-place approximation of the number (round to four decimal places as needed)

Question

Use a calculator to write a four-decimal-place approximation for the number (round to four decimal places as needed.)

 

5^1/4

Answer 1

5^(1/4)=[5^(1/2)]^(1/2)

first 5^(1/2)=square root of 5

using a calculator we have 2.236067

now we want (2.236067)^(1/2)

(2.236067)^(1/2)=square root of (2.236067)

using a calculator we have 1.4953484

the answer to four decimal places is 1.4953

check:(1.4953)^4=4.999347(approx. 5)(don't forget we rounded off !)