This exercise is based on an ancient Babylonian method for approximating the square root of a positive number c. Assume that c lies in the interval (1,4) for simplicity. Set x0=3 / 2 . For n ≥0, define xn 1=(1)/(2)(xn (c)/(xn)) a. Use the definition of xn 1 to obtain the identity |xn 1-√(c)|=(xn-√(c))^2 / 2 xn b. Use part (a) to deduce that if xn approximates √(c) to k decimal places, then xn 1 approximates √(c) to 2 k decimal places. c. Use this algorithm to compute √(3.75) to 8 decimal places.
This exercise is based on an ancient Babylonian method for approxima…
Feb 28, 2022
numerade.com
Use the assumed Babylonian square root algorithm of the text t... | Filo
Use the assumed Babylonian square root algorithm of the text t... | Filo
5.5K views10 months ago
askfilo.com
Babylonian Method
3:47
Babylonian Method
24.6K viewsSep 10, 2019
YouTubeLorenzo Sadun
Solving Square Roots: Babylonian Method (Simplifying Math)
6:54
Solving Square Roots: Babylonian Method (Simplifying Math)
29.8K viewsJan 28, 2009
YouTubeBuffington
How to Calculate Square Root by Hand (Babylonian Method)
3:00
How to Calculate Square Root by Hand (Babylonian Method)
1.6K viewsFeb 6, 2025
YouTubeCowan Academy
Babylonian method for finding a square root
6:48
Babylonian method for finding a square root
30 viewsJul 29, 2024
YouTubeStation ON
Babylonian Algorithm in C++
Babylonian Algorithm in C++
1.9K viewsJan 21, 2018
YouTubeThe - CODE - Lines
9:35
Babylonian Square Root
16.5K viewsAug 26, 2020
YouTubeDr Peyam
15:04
Codebymath with Python - Babylonian method to find the squ…
4.7K viewsApr 10, 2020
YouTubedrcode
Python Math: Computing square roots using the Babylonian metho…
6 months ago
w3resource.com
4:03
Babylonian Math: Deriving the Quadratic Formula
8.6K viewsMay 19, 2014
YouTubeSelim Tezel's Project Based Learning Initiative i…
10:13
Babylonian Mathematics: The Unseen Roots of Calculus
648 viewsDec 14, 2023
YouTubeVERSA TUBE
13:41
Babylonian Numeration System
14.8K viewsFeb 8, 2021
YouTubeTed Hodgson
11:34
Operations with Babylonian Numbers
5.7K viewsJan 29, 2016
YouTubeLearnYouSomeMath
10:58
Babylonians Used This Algorithm 4000 Years Before Newton
467 views3 weeks ago
YouTubeThe Palindrome
4:23
Heron's method or Babylonian method to find the approximate sq…
2.1K viewsMay 10, 2021
YouTubeAnselm Griffin
1:13
14 - The Babylonian number system
2.9K viewsMay 25, 2012
YouTubemw0110869600
7:52
חישוב שורש ריבועי ללא מחשבון - Babylonian algorithm to calculate …
12.3K viewsNov 26, 2015
YouTubeאורי וינברג
7:38
U1L1V3 The Babylonian Number System
14.4K viewsJan 19, 2016
YouTubeScott Smith
12:44
The Babylonians Multiplication Method
2.4K viewsMay 13, 2019
YouTubePi- rim
8:02
Babylonian Math Example
18.2K viewsApr 15, 2016
YouTubeLearnYouSomeMath
5:57
Babylonian Numeration part 2
15.3K viewsJan 10, 2011
YouTubeDusty Jones
The Babylonian Method for solving Quadratics (Works on ALL Quadra…
10K viewsJan 21, 2019
YouTubePolar Pi
3:39
Babylonian Numeral Basics
905 viewsAug 3, 2015
YouTubeTim Zick
5:00
5.Babylonian numbers 1-9
128.2K viewsMar 18, 2011
YouTubeMotivate videos - maths.org
13:33
How To Calculate Any Square Root. An Ancient Method That Powers M…
1.8M viewsNov 18, 2024
YouTubeMindYourDecisions
2:24
Babylonian Number System
23K viewsDec 31, 2009
YouTubeAmerican Public University System
5:10
Square Root Algorithm (C++)
13.2K viewsFeb 6, 2011
YouTubeKarBytes CS
0:41
Babylonian Numerals: The Base-60 Revolution
1.4K viewsDec 18, 2023
YouTubeVERSA TUBE
6:09
Babylonian Algorithm- Computing Square Root
551 viewsApr 6, 2021
YouTubeDr. Hanney Shaban
See more videos
Static thumbnail place holder