Vedic Maths techniques are the best techniques that performs our calculation with rapid speed in quick time. Vedic Maths is a collection of techniques/sutras to solve mathematical problem sets in a fast and easy way. Bharthi Krishna Tritha, an Indian monk, wrote the book "VEDIC MATHEMATICS", which has a list of mathematical tricks to solve maths calculations faster than traditional methods.
Veda is a Sanskrit word meaning 'Knowledge'
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 :
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.
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.
4.
Number Square
1^2 1
2^2 4
3^2 9
4^2 16
5^2 25
6^2 36
7^2 49
8^2 64
9^2 81
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 Number ending with following number Square root ends with following number
1 1 or 9
4 2 or 8
5 5
6 4 or 6
9 3 or 7
Sutra is "FIRST BY THE FIRST AND LAST BY THE LAST"
Type 1: 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
Type 2: 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.
Keywords: vedic maths square root tricks | square root tricks | vedic mathematics | how to find square root | how to find square root of any number in mind? | vedic maths square tricks | shortcut to find square of any number | best trick to find square root of any number | squares of numbers ending 5,9,1 | vedic maths | vedic maths full course | square root by sahil sir
#vedicmathstricks #mathstricks #maths #abacusmathstricks #mathstricksforfastcalculation #squaretricks #squareroottricks #squareofanynumber #vedicmaths #tricks #vedicmathstricksforfastcalculation #vedicmathssquareroottricks #mathematics #mentalmaths #vedicsutras
Voice Over: Dheemraj
Music: Maestro Tlakaelel
Artist: Jesse Gallagher
Chapters
0:00 Concept
0:42 First Example
2:21 Second Example
3:24 Practice!
Non Perfect Square Root trick: https://youtu.be/4sdy_IOZOK4
Cube Root Trick: https://youtu.be/ax9rCxOgxvo
Square Root Trick: https://youtu.be/oh0osnNf134
How to find square of any number: https://youtu.be/NTaFUCM7Unk
Vedic Maths multiplication tricks: https://youtu.be/wP4vOS4SmYA
Best Vedic Maths Tricks: https://youtu.be/YPFY_rIkDtY
Fair Use Copyright Disclaimer: This video is solely meant for educational puspose. Credit of all those media items that were used in this video goes to their respective owners.
Thank You...