o (1)(a)Devise an algorithm to find the fifth root of N, where N is any positive perfect fifth power.

o (1) (b) How about deriving an algorithm corresponding to the case where N is a positive integer but NOT a perfect fifth power?

o (2) Extend (1) by devising an efficient algorithm to cover the general case where N is any positive real number.

You only have these three containers, all irregular in their shape (though it doesn´t appear in the simplified drawing below), with no marks in them, and all that you know is the capacity of each one.

The 3-liter is empty, the 5-liter is full of 50ºC water, and the 6-liter is full of 90ºC water.

|/////|
|/////| |/////|
|/////| |/90º/|
| | |/50º/| |/////|
| | |/////| |/////|
| | |/////| |/////|
+-----+ +-----+ +-----+
3-lit 5-lit 6-lit

With a succession of moves, how do you get some water at 76ºC? At 75ºC?

How many different integral temperatures, from 50ºC to 90ºC, can you get?