Why are square roots so fundamental?
Why are square roots (and squared quantities) so important in physics, mathematics, and all over science? Whether it's the area of a circle, the quadratic formula, the Pythagorean theorem or The Grand Design/The Theory of Everything (Hawking), this seemingly arbitrary X times X has implications everywhere! Why not (2x - 1)? Why not (x cubed minus x)?
I believe it rests in their perfect-square nature. The Greeks recognized their importance primarily because of how they illustrated quantities. In reference to square quantities, their numbering system illustrated them as simply squares; for instance 4 was represented by 4 dots arranged in a 2 by 2 square, 9 was a 3 by 3 square... This somewhat perfect nature in quantifiable number-sense that is, or perhaps this pattern, if you will, is significant in many aspects of our world... However, I wonder, if the ultimate flaw in our thoughts or prejudgment (at least until recently) may indeed be this obsession with finding order/patterns of repetition in our world?
by mosesb44 14 years ago
Does anyone have a formula for finding the square root of a number? I know that one can use a calculator but there is a formula in the calculator in order for it to perform. I would like to have the formula along with an example.Thank you.Bernard Moses
by SparklingJewel 16 years ago
I just heard this on TV...but can't remember it all.The partial definition of String Theory is something like: quantum mechanics is all about the smallest, and theory of relativity is the other end of the spectrum, string theory ties it all together and has been going on forever and is...
by Escobana 13 years ago
Why do we need to know our biological parents? Are your roots that important?I'm adopted since I was 9 months old. Born in Bogotá, Colombia. My parents are Dutch. I'm almost 38 and never travelled to my native country. Problems with my identity, I've never had. Curious I've always been.Some people...
by qwark 15 years ago
Could it be that our universe exists within the empty space of a piece of used bubble gum on the bedpost of someone existing in the 11th dimension of the "Theory of Everything?"
by Ari Lamstein 14 years ago
What is "The Mermaid" in Pilates? And why is it a good exercise?
by ChilliWilly 14 years ago
Why does a round pizza come in a square box?
Copyright © 2025 The Arena Media Brands, LLC and respective content providers on this website. HubPages® is a registered trademark of The Arena Platform, Inc. Other product and company names shown may be trademarks of their respective owners. The Arena Media Brands, LLC and respective content providers to this website may receive compensation for some links to products and services on this website.
Copyright © 2025 Maven Media Brands, LLC and respective owners.
As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.
For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: https://corp.maven.io/privacy-policy
Show DetailsNecessary | |
---|---|
HubPages Device ID | This is used to identify particular browsers or devices when the access the service, and is used for security reasons. |
Login | This is necessary to sign in to the HubPages Service. |
Google Recaptcha | This is used to prevent bots and spam. (Privacy Policy) |
Akismet | This is used to detect comment spam. (Privacy Policy) |
HubPages Google Analytics | This is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy) |
HubPages Traffic Pixel | This is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized. |
Amazon Web Services | This is a cloud services platform that we used to host our service. (Privacy Policy) |
Cloudflare | This is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy) |
Google Hosted Libraries | Javascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy) |
Features | |
---|---|
Google Custom Search | This is feature allows you to search the site. (Privacy Policy) |
Google Maps | Some articles have Google Maps embedded in them. (Privacy Policy) |
Google Charts | This is used to display charts and graphs on articles and the author center. (Privacy Policy) |
Google AdSense Host API | This service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy) |
Google YouTube | Some articles have YouTube videos embedded in them. (Privacy Policy) |
Vimeo | Some articles have Vimeo videos embedded in them. (Privacy Policy) |
Paypal | This is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy) |
Facebook Login | You can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy) |
Maven | This supports the Maven widget and search functionality. (Privacy Policy) |
Marketing | |
---|---|
Google AdSense | This is an ad network. (Privacy Policy) |
Google DoubleClick | Google provides ad serving technology and runs an ad network. (Privacy Policy) |
Index Exchange | This is an ad network. (Privacy Policy) |
Sovrn | This is an ad network. (Privacy Policy) |
Facebook Ads | This is an ad network. (Privacy Policy) |
Amazon Unified Ad Marketplace | This is an ad network. (Privacy Policy) |
AppNexus | This is an ad network. (Privacy Policy) |
Openx | This is an ad network. (Privacy Policy) |
Rubicon Project | This is an ad network. (Privacy Policy) |
TripleLift | This is an ad network. (Privacy Policy) |
Say Media | We partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy) |
Remarketing Pixels | We may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites. |
Conversion Tracking Pixels | We may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service. |
Statistics | |
---|---|
Author Google Analytics | This is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy) |
Comscore | ComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy) |
Amazon Tracking Pixel | Some articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy) |
Clicksco | This is a data management platform studying reader behavior (Privacy Policy) |