Question

When using the Babylonian method to approximate √6, if you start with a guess of 2, then what will be your next guess?

3
2.75
2.5
2

Answer 1

Im guessing the answers given (the numbers) beside them is the letters A.B,C,D For answer choices?

Answer 2

If so I think its 2.5 :)

Answer 3

See - http://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method

Given S = 6 ; x = 2
Then, our next guess would be = (1/2)*(x + S/x) = 2.5

Answer 4

Thanks!

Answer 5

:)