How To Calculate Square Roots By Hand

MIT and Harvard entrance exams specifically tested if students knew how to calculate square roots by hand. In this video I will teach you the square root algorithm to calculate the square root of any number, digit by digit, by hand without a calculator. 0:00 Intro 3:47 2025 7:48 831744 10:50 13689 13:18 11.56 15:15 1234 19:12 531.5 23:47 inventor 25:15 why it works 28:58 place value Harvard 1869 problem https://graphics8.nytimes.com/packages/pdf/education/harvardexam.pdf MIT exam 1876 https://web.archive.org/web/20190404065722/https://libraries.mit.edu/archives/exhibits/exam-entrance1876/arithmetic1876.html Naval Mathematics, 1966 https://www.google.com/books/edition/Mathematics/Bcs6iIbOp9EC?hl=en&gbpv=1 Goals for the Correlation of Elementary Science and Mathematics, 1969 https://archive.org/details/goalsforcorrelat0000unkn/page/50/mode/2up Aryabhata's methods https://arxiv.org/pdf/math/0608793 Translation of Sanskrit https://www.ganitamkalakriyagolam.com/post/vargam%C5%ABla Route to Learn https://www.youtube.com/watch?v=nuZr4hAYfzU Āryabhaṭa's Algorithmic Square Rooting https://itihaasa.substack.com/p/aryabhats-algorithmic-square-rooting The square root algorithm https://www.cantorsparadise.com/the-square-root-algorithm-f97ab5c29d6d Byjus https://byjus.com/maths/square-root/ Find Square Root by Hand without Calculator https://www.youtube.com/watch?v=AMnDmDOXH04 Square root algorithm https://www.basic-mathematics.com/square-root-algorithm.html Calculating Square Root by Hand (Early Grades) https://www.youtube.com/watch?v=x4D5bPqONAE Ancient formula calculate ANY square root https://youtu.be/MXveVqBxFow Abacus picture https://en.wikipedia.org/wiki/Abacus#/media/File:Houghton_Typ_520.03.736_-_Margarita_philosophica.jpg Margarita philosophica nova https://archive.org/details/margaritaphiloso00reis_2/page/n191/mode/2up Laplace quote https://en.wikipedia.org/wiki/History_of_the_Hindu%E2%80%93Arabic_numeral_system#Impact_on_arithmetic Laplace picture https://en.wikipedia.org/wiki/File:Laplace,_Pierre-Simon,_marquis_de.jpg Members get early access to videos YouTube members https://www.youtube.com/channel/UCHnj59g7jezwTy5GeL8EA_g/join Patreon members https://www.patreon.com/mindyourdecisions Support the channel with a one-time donation https://www.paypal.com/donate/?hosted_button_id=REZRY3QRQPYQA Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2025. My Books (worldwide links) https://mindyourdecisions.com/blog/my-books/#worldwide My Books (US links) Mind Your Decisions: Five Book Compilation https://amzn.to/2pbJ4wR A collection of 5 books: "The Joy of Game Theory" rated 4.2/5 stars on 564 reviews http://amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.2/5 stars on 55 reviews http://amzn.to/1o3FaAg "40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 81 reviews http://amzn.to/1LOCI4U "The Best Mental Math Tricks" rated 4.3/5 stars on 148 reviews http://amzn.to/18maAdo "Multiply Numbers By Drawing Lines" rated 4.5/5 stars on 57 reviews http://amzn.to/XRm7M4 Mind Your Puzzles: Collection Of Volumes 1 To 3 https://amzn.to/2mMdrJr A collection of 3 books: "Math Puzzles Volume 1" rated 4.4/5 stars on 138 reviews http://amzn.to/1GhUUSH "Math Puzzles Volume 2" rated 4.2/5 stars on 45 reviews http://amzn.to/1NKbyCs "Math Puzzles Volume 3" rated 4.3/5 stars on 38 reviews http://amzn.to/1NKbGlp 2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter. My Blog https://mindyourdecisions.com/blog/ Twitter https://twitter.com/preshtalwalkar Instagram https://www.instagram.com/preshtalwalkar/ Merch https://teespring.com/stores/mind-your-decisions Patreon https://www.patreon.com/mindyourdecisions Press https://mindyourdecisions.com/blog/press