What is the length of the segment of the number line whose endpoints satisfy \(|x-\sqrt[5]{16}|=3\)?
x - 16^(1/5) = 3 16^(1/5) - x = 3
x = 3 + 16^(1/5) x = 16^(1/5) - 3
Length of the segment =
[ 3 + 16^(1/5) ] - [ 16^(1/5) - 3 ] =
3 + 3 =
6
+64 
