Find the cube root of 217, correct to two decimal places.

Answer

`6.01`

Explanation

`(217)^(1//3) = (6^(3)+1)^(1//3) = 6(1+1/(6^(3)))^(1//3)`
`=6(1+(1)/(3xx216)-(1xx2)/(3xx3xx2)(1/216)^(2)+".....") = 6.01`