Skip to main content

Finding Square Roots Easily (Vedic Math)

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 :-

Labels:

Comments

Post a comment

Popular Posts

Anode Ray Experiment

→Anode ray experiment was conducted by E Goldstein. →These rays are also known as canal rays. →This experiment helped in the discovery of the proton. Apparatus Used A discharge tube  was taken in which there were 2 electrodes i.e. Anode(+ve) and the cathode (-ve). The tube was filled with an inert gas. A perforated or porous cathode was used. A layer of zinc sulphide was placed at the back of the cathode. There was a vacuum pump in the tube. High voltage (5000v-10000v) was allowed to flow through the system. It was observed that when the gas was at 1atm(atmospheric pressure ) no change was seen in the tube.  When the   pressure   was decreased inside the tube, a glow could be seen at the back side of the cathode.
2 comments
Read more

Isotopes, Isobars and Isotones

Isotopes These are elements which have the same atomic number but different atomic mass . They have the same atomic number because the number of protons that are inside their nuclei remains the same. But, they have different atomic mass because the number of neutrons that are also inside their nuclei is different. As the number of protons inside nuclei remains same, therefore the overall charge of the elements also remains same as in isotopes: no of protons = no of electrons . Hence, as isotopes overall charge remains neutral, therefore their chemical properties will also remain identical.   Therefore, Isotopes are chemically same but physically different.
2 comments
Read more

The Inverse & Reciprocal TRIGONOMETRIC Functions

So, this is my second post on trigonometry. In this post we're gonna cover the reciprocal and the inverse Trigonometric functions. If you haven't seen my first post you should definitely view it as it covers the basics of Trigonometry The Reciprocal Trigonometric Functions The reciprocal Trigonometric function of Sine is Cosecant, of Cosine is Secant & for Tangent it is Cotangent. Cosecant (Csc θ = 1/Sin θ) or (Hypotenuse/Opposite) Secant (Sec θ = 1/Cos θ) or (Hypotenuse/Adjacent) Cotangent (Cot θ = 1/Tan θ) or (Adjacent/Opposite) We can also represent Tan θ in another way. As Tan θ = opposite/adjacent  & Sin θ = opposite/hypotenuse  & Cos θ = adjacent/hypotenuse ∴ Tan θ = Sin θ/Cos θ (The hypotenuses cancel out) As Cot θ = 1/Tan θ  So, we can also represent Cot θ as Cos θ/Sin θ.
1 comment
Read more

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 strike zinc sulphide layer, it results i
18 comments
Read more

Cathode Ray Experiment

This experiment was conducted by J.J. Thomson (Sir Joseph John Thomson) in the year 1897. This experiment proved that atom is made up of fundamental particles which are much smaller than the smallest atom 'hydrogen' This experiment helped to discover electron. According to J.J. Thomson, the cathode rays consisted of very light, small and negatively charged particles. He named the particles "corpuscles" which were later known as electrons
2 comments
Read more

UEFA CHAMPIONS LEAGUE

UEFA CHAMPIONS LEAGUE Europe's biggest club soccer competition, The UEFA Champions League, takes place every year. The competition begins in September and ends in May. It is a classic tournament following a round-robin format after which the top teams qualify to the knockout stages. It includes 32 best clubs in different countries of Europe. Obviously teams from major countries like England, Spain, France, Germany and Italy qualify easily while teams from smaller countries like Ireland, Austria, Netherlands, Denmark have to go through a qualifying round. The teams who win the leagues in their countries qualify directly while in some countries even the second, third and fourth placed teams also qualify. Sometimes a team may qualify in the Champions League because they finished in the top-four. These clubs may or may not qualify through their leagues but their good performance may help them qualify. Even the champions of The UEFA Europa League, another prestigious league
Post a comment
Read more

Important Mathematical Constants!

Important Mathematical Constants Mathematical constants are those numbers that are special and interesting because they come up in the various fields of mathematics like geometry, calculus etc. These mathematical constants are usually named after the person who discovered it and they are represented by a symbol that is usually picked up from the Greek alphabet. Mathematical constants are by definition very important. In this article we will take a look at certain mathematical constants that are more commonplace than others. 1.       π (pi) or Archimedes constant (~3.14159):   π is defined as the ratio of the circumference of a circle to its diameter. This is probably the most popular mathematical constant. So π is the circumference of the circle whose diameter is 1 unit. You might have seen it popping up when calculating the area of a circle (πr 2 ) or the circumference of a circle (2πr). It has many uses throughout mathematics from calculating the area of certain shap
Post a comment
Read more