ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

Square roots and cube roots explained. Work out root 36 or cube root of 27.

Updated on June 19, 2013


First of all let’s take a look at square roots.

If you want to find a square root of a number then you need to look for a number when multiplied by itself to give the number that you are square rooting.

So if you have √a then ? × ? = a

Let’s cover a few questions:

Question 1

Work out √16 (this means the square root of 16)

Since 4 × 4 = 16 then the square root of 16 is 4.

Question 2

Work out √49

Since 7 × 7 = 49 then the square root of 49 is 7.

Question 3

Work out √225

Since 15 × 15 = 225 then the square root of 225 is 15.

Question 4

Work out √1

Since 1 × 1 = 1 then the square root of 1 is 1.

Question 5

Work out √144

Since 12 × 12 = 144 then the square root of 144 is 12.

Let’s now look at cube roots. This time you are looking for a number such that ? × ? × ? gives the number that you are cube rooting. Let’s go over a few questions of cube roots:

Question 6

Work out ³√27 (that is the cube root of 27)

So you are looking for a number such that ? × ? × ? = 27. The number that you looking for is 3 because 3 × 3 × 3 = 27 (3 × 3 = 9 so 9 × 3 = 27). Therefore the cube root of 27 is 3.

Question 7

Work out ³√8 (that is the cube root of 8)

So you are looking for a number such that ? × ? × ? = 8. The number that you looking for is 8 because 2 × 2 × 2 = 8 (2 × 2 = 4 so 4 × 2 = 8). Therefore the cube root of 8 is 2.

Question 8

Work out ³√64 (that is the cube root of 64)

So you are looking for a number such that ? × ? × ? = 64. The number that you looking for is 4 because 4 × 4 × 4 = 64 (4 × 4 = 16 so 16 × 4 = 64). Therefore the cube root of 64 is 4.

Question 9

Work out ³√125 (that is the cube root of 125)

So you are looking for a number such that ? × ? × ? = 125. The number that you looking for is 5 because 5 × 5 × 5 = 125 (5 × 5 = 25 so 25 × 5 = 125). Therefore the cube root of 125 is 5.

Question 10

Work out ³√-8 (that is the cube root of negative 8)

So you are looking for a number such that ? × ? × ? = -8. The number that you looking for is -2 because -2 × -2 × -2 = -8 (-2 × -2 = 4 so 4 × -2 = -8). Therefore the cube root of -8 is -2.

So to summarise if you are taking the square root of a number then you are looking for a number such that ? × ? = the number you are rooting. And if you are taking the cube root of a number then you are looking for a number such that ? × ? × ? = the number that you are cube rooting.

Comments

Submit a Comment

  • lkbiswas profile image

    lkbiswas 

    5 years ago

    It is very interested site,very critical math show very easily solve.

  • desertlab profile image

    desertlab 

    6 years ago

    Nice guide.

working

This website uses cookies

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://hubpages.com/privacy-policy#gdpr

Show Details
Necessary
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis 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 ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
CloudflareThis 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 LibrariesJavascript 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 SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google AdSense Host APIThis 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 YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
PaypalThis 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 LoginYou 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)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Marketing
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe 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 PixelsWe 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 AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore 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 PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)