Finding Square Roots Easily (Vedic Math)

Hello, Guys!!! I’m back with another post on Vedic Math that is going to keep you ~~glued~~ rooted to your spot 😆. This time I’m going to teach you how to calculate the square roots of perfect squares faster…

With a little practice, this method can let you calculate the roots in a matter of 5 seconds, whereas if you had used the traditional method, you would still be stuck with your question 😏

Things you need to know:-

Perfect square which has unit digit 1 will have square root with the last digit as 1 or 9

Perfect square which has unit digit 4 will have square root with the last digit as 2 or 8

Perfect square which has unit digit 5 will have square root with the last digit as 5

Perfect square which has unit digit 6 will have square root with the last digit as 4 or 6

Perfect square which has unit digit 9 will have square root with the last digit as 3 or 7

Perfect square which has unit digit 0 will have square root with the last digit as 0

And most importantly… you need to know this handy little trick for the method to work.

If you need to find the square of a number which ends with 5 you just write 25 at the end and multiply the remaining digits with its successor. Here are a couple of examples to help you understand better…

So, now that you know everything to make this trick work… here’s The Thing itself

Huh?! Someone called me???

I'm sorry for that interruption... So without further adieu,

Let us begin!!

For this post let’s try to find √5776

1) Firstly, consider the last 2 digits- 76, and find the last number of the square root referring above… in this case, 4 or 6

2) Next, consider the remaining digits, 57 and find a number whose square is nearest to 57 but not above it, 7 x 7 = 49, therefore 7 in this case.

3) So this number can have square root as either 76 or 74, to know which is the correct answer read further

4) Now we take the number between 76 and 74 i.e. 75 and find its square using the method given above -

75 x 75 = (7x8)25

= 5625

5) If the answer obtained in step 4 is greater than the number we want to find the root of, we take the greater option (6), if it is less than the original number, we take the lesser option (4)

6) As 5625 < 5776, therefore √5776 = 76

Voila! You get your answer

Some words of caution:-

· Only works on perfect squares.

· If the number ends in 5 or 0, then you don’t need to follow steps 3 – 6

Tired of your slow and inaccurate multiplication? Want to multiply faster? Here's something that might help you

All your reviews are highly appreciated, and I hope that you find this trick useful. Share this with your friends (it helps me a lot) and stay tuned for more on highschoolpedia.com . Any doubt would be cleared in the comments section below

See you later

Have a nice day!!! ☺

You Might Also Like :-

Enjoy your high school with - High School Pedia : www.highschoolpedia.com

Comments

Animal and Plant Cells

Cells Cells are the basic functional, biological and structural unit of life. The word cell is a Latin word meaning ‘small room’. Cells are also known as building blocks of life. The branch of science that deals with the form, structure, and composition of a cell is known as Cytology. All organisms around us are made up of cells. Bacteria, ameba, paramecium, algae, fungi, plants and animals are made up of cells. Cells together form tissues. And tissue together makes an organ. History Of Cell The cell was discovered by Robert Hooke in 1665. He assembled a simple microscope and observed a very thin slice of cork under his primitive microscope. The cork was obtained from the outer covering of a tree called bark. Robert Hooke observed many little-partitioned boxes or compartments in the cork slice. These boxes appeared like a honey-comb. He termed these boxes as the cell. He also noticed that one box was separated from another by a wa...

Levitation 2

LEVITATION II To be completely honest I was going to start this with a pun. I did think of one but it doesn’t float… I am sorry I just had to. Anyway, this is the second part to the article on super cool ways of making things levitate. Go check the first part out if you haven’t already. Actually, the first part may have become repulsive with all the magnets and stuff, but I promise this will be more attractive. Get it? No? I’ll stop now. I am just going to jump straight into it. 1. Electrostatic Levitation I know you are probably sick and tired of magnets but they are the best way you know… This method is somewhat similar. You remember that cool science experiment you did with two straws attracting or repulsing each other based on their charge? So basically using the same principle we can make a charged object levitate. But before you try it, let me tell you it won’t be easy. Even impossible according to our Mr. Earnshaw. He even made a law (th...

Stains And Dyes

STAINS AND DYES Stains and dyes are used to great lengths in microbiology to highlight certain parts or organelles of cells when put under the microscope. They can also be used to classify the various parts of the cells and different cell groups in a tissue. Stains can be used on their own as well as mixed with other stains and dyes. In fact, the process of using multiple stains to highlight important parts of an already stained cell is called counterstaining. You may have used safranine while preparing a temporary mount of leaf peel to observe stomata. That is an example of a stain. When it comes to the process of applying stains, there are broadly two different classifications: IN VIVO staining and IN VITRO staining. As the name suggests, IN VIVO staining is practised on live tissue. It helps us observe the chemical reactions taking place within a living cell. Stains are used here to highlight the chemicals and chemical reactions taking place. IN VITRO staining is pract...

High School Pedia

It is an initiative by some students to spread the light of knowledge to everyone and everywhere. It was started in the year 2015 and has grown rapidly in the past few months. By the means of this website, we try to provide information on every topic that we can reach up to. You can find different articles on this website. All these articles are written in simple language so that everyone can understand it and learn from it. We at High School Pedia believe in creative learning and this is the reason why we add our own edited graphical representations in every article. Once a very learned man said, “Knowledge increases by not keeping it to yourself but by sharing it with others”. And we follow the same motto “Share to Learn”. The team of High School Pedia tries its best to provide you with the best and original content. Unlike many other websites, High School Pedia is famous for its original and inspiring content.

Want To Make Your Smart Phone Really Smart

Nowadays everyone uses smartphones. But the question arises that are they using it smartly? Smartphones are the shortcut to various needs which makes it smart. But till what limit? Therefore smartphone can be used for everything and to achieve this you just have to read the following article. Movies Everybody watches movies but to open PC and then download is time-consuming.Thus Showbox is an app which downloads movies with one touch and even TV shows like ‘Friends’, ‘The Big Bang Theory’, Etc.

Rutherford Alpha Ray Scattering Experiment

Rutherford Alpha Ray Scattering Experiment Hey, Guys, most of you might have heard about the alpha ray scattering experiment and if you want to know in detail about Rutherford's model and the experiment he conducted, this is the right place for you... But first: Things You Must Know Some basic information that will help you understand rutherford experiment properly: Proton is a sub-atomic particle which is positively charged and has a mass of 1u. Alpha particles are helium atom with a charge of +2 as they have lost 2 electrons. Alpha particles have an atomic mass of 4u. Gold is highly malleable and can be beaten into very thin sheets. Experiment Rutherford conducted his experiment in the following way: Rutherford took a very thin gold foil and bombarded it with high energy alpha particles. He placed a layer of zinc sulphide on the walls where the experiment was taking place because when alpha particles ...

Piezoelectric Crystal

Piezoelectric Crystal {literally_pressing electricity} Ever wondered what it might be like to live in dark or sleep in a hot summer day without an AC ? Absurd, isn't it ? But with the rate at which we are using our resources, it may not be long before it actually happens. Scientist across the globe are searching for new resources, stocks and technology to prevent the near, unpleasant future of current and the next gen. One of these, an unexploited tech is that of Piezoelectricity. Piezoelectricity is an ability of some special materials (like crystals of quartz, ceramics of lithium niobite, gallium arsenide, zinc oxide) to trigger an electric charge when supposed to mechanical stress. These materials are available in basic instruments that we use in our daily life like microphones, quartz watch, gramophones. All these materials are run by the piezoelectric current. But how does it work? When you apply force (mechanical force) on it, an electric potential, on eit...

High School Pedia

Search This Blog