Quickest Way to find Square Root of two Numbers | Vedic Maths tricks for fast calculation

Vedic Maths techniques are the best techniques that performs our calculations with rapid speed. Vedic Mathematics is a collection of Techniques/Sutras to solve mathematical arithmetics in easy and faster way. It consists of 16 Sutras (Formulae) and 13 sub-sutras (Sub Formulae) which can be used for problems involved in arithmetic, algebra, geometry, calculus, conics.
Vedic Mathematics is a system of mathematics which was discovered by Indian mathematician Jagadguru Shri Bharathi Krishna Tirthaji in the period between A.D. 1911 and 1918 and published his findings in a Vedic Mathematics Book by Tirthaji Maharaj
Veda is a Sanskrit word which means ‘Knowledge’.
Using regular mathematical steps, solving problems sometimes are complex and time consuming.

The square root of a number is the inverse operation of square of number.
Example
Number Square of the number Square root of the number
6^2 6 × 6 = 36 √36=6
8^2 8 × 8 = 64 √64=8
12^2 12 × 12 = 144 √144=12

Points to be remembered before finding the square root of any number :

1. The given number is arranged as a group of two numbers from right to left. If a single number has remained at the left, then it is also considered as one group.
2. The number of groups derived for the given number will be the number of digits of the square root of that number.

Example : √25=5
, here there are two digits so one group. So, the square root of 25 is 5.
√169=13, the number forms two groups (1, 69), so the square root is two-digit number 13.
3. If the square of a number is an odd number, then the square root is also an odd number, and if the square is an even number, then the square root is also an even number.

Logic to find the square root

Observing the square of numbers from 1 to 9, we can analyze that an exact square ends with 1,4,5, 6,9, and 0 square root. These numbers will be rational numbers.

If the square of the number ends with 2,3,7 and 8 then its square root will be an irrational number.

Square root of perfect square number:
Number:√3969
Step
39 | 69 Grouping: from right to left
38 is greater than 36, the perfect square number of 62, and 69 is lesser than 64, which is a perfect square number of 82
3600 | 6400
602 | 802 Therefore the given number lies between 3600 and 6400 that means there square number will be between 60 and 80
So the first number in the square root will be 6
The number in the units places is 9 so the square number should be ending with 3 or 7 (as discussed above)
The square root of the given number should be either 63 or 67
Applying digit sum method to find the square root
63 = 3969
(6 + 3) = 3+9+6+9
9 = 2 + 7
9 = 9 So the square root of number 3969 is 63
Answer : 3969 = 63

Square root of imperfect square number :
Number Steps
√2
The given number is not a perfect square
1 + 1 = 2. or
4 - 2 = 2 The nearest square number is 1 and 4
1 + 1/2
1 + 0.5
1.5 Square root of 1 is 1, add (1 ÷ [ 1 + 1]) i.e 1 divide by twice the perfect square number
1.5 The same when calculated in calculator gives 1.414 which is approximately equal to 1.5
√20
√2
25 - 5 = 20 25 is the perfect square of 5 subtract it from (1/10) 1 divide by twice the perfect square
25 - 5/10
5 - 0.5
4.5

The same when calculated in calculator gives 4.47 which is approximately equal to 4.5

After learning a few of the tricks to find square and square roots of the number, one will be able to easily find the square numbers and their square roots without any help from calculators. These tricks are very helpful in solving aptitude problems related to square and square roots in competitive exams.

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Voice Over: Dheemraj
Music: Maestro Tlakaelel
Artist: Jesse Gallagher

Fair Use Copyright Disclaimer: This video is solely meant for educational purpose. All the rights to the media used go to their respective owners.
Thank You...

[nitingariya]

Vedic maths is the best way to undersatnd and solve mathematics and the content is really knowledgable, thanks sir 🙏✍️🌹✨

[suvidhimittal]

after watching it 2-3 times and solving by myself, i am crystal clear.

[jagdishkarande]

I’m 75
I had memorized squares of numbers up to 30 and cubes up to 15.
Vedic Math would have helped me.
Next janam!
Still enjoying your math.
Thanks

[scienceperceiver]

√8396= 91.63 . Not 86 (as in thumbnail)? How many guys ignore this😂😂

[SAKSHI-gmtk]

Literally thanks ....keep making I don't know vedic maths which is our ANCESTORS gift to us ....and in schools it's also not taught ❤️

[ACHYUTK]

Literally thanks ....keep making I don't know vedic maths which is our ANCESTORS gift to us ....and in schools it's also not taught

[publicentertainment]

Vedic method is the best way to find square root . I understand it easily .

[deepakapoor]

I love the way you teach. Your voice is very soothing. I wish teachers in schools could learn something from you. I wish I had you as my math teacher. I’m learning more from you than I’ve ever in school. Thank you.

[chinmayaprakash]

Hi. Just dropped in to direct a comment at the content creator about the inaccuracy of the thumbnail. √ 8396 is approximately 91.63. The number you should have put is 7396, as √ 7396 = 86. This is just a factual error, and my comment takes nothing away from your video. Keep spreading the word about vedic mathematics.

[abhishekgupta]

Very good video, please keep uploading more stuffs like these🙏

[amarpalsingh]

Literally.. a hearted thanks to you🎉 really vedic math tricks are amazing.

[pranjalvedansh]

I can't believe it's so easy vedic maths is superb and the way you teaching awesome I like your voice to thank you so much for this wonderful video

[showyourtalent...]

Phele thoda kam samaj aaya lekin aapne itne example liye jisse mere bilkul samaj aa gya thank you so much sir 👍👍👍

[kumargunjan]

Actually this is also there in today's maths and also there is a draw back in this u need perfect squares to use this method u can't just randomly pick any number and try to find the roots but yeah pretty useful method I am not discouraging the creator nor I am saying any thing bad about the method or its source.

[sohanchatterjeedrollnumbe]

Its really helpfull for student as I am a student so I can understand it about square roots. Thank you for uploading this video.

[nagme-dilon-ke]

It was super fun
And super easy I was having difficulty to solve square roots at first and then I found your video
Thank you
From uttarakhand

[anonymous._]

You have only considered taking square roots perfect square but what about imperfect squares??

[superstatics]

god level education now I can be fastest calculator in my class, thank you

[pranavgujjari]

The best teaching video found on yt...❤

[Iwillcrack]

Bhaiya is there such a method to calculate of such long numbers which are not perfect squares this trick is valid for perfect squares only