Fastest way to find Square of two Numbers | Vedic Maths Square Tricks for Fast Calculation

Vedic Mathematics tricks are very important techniques through whuch we can easily find square,cube,squareroo, cube root or can multiply two numbers. In this video we gonna teach you some amzing vedic maths tricks for finding square of any number within 5 seconds.
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

Type 1: Squaring of number ending with 5.

Sutra is "BY ONE MORE THAN PREVIOUS ONE"

Step 1: Add 1 to the first digit from the left and multiply by the number itself.
Step 2: Add 52 (25) at the end to the number obtained from step 1.
Number Steps
65
6 × (6 + 1)
= 6 × 7
= 42 Add 1 to the left number (6) and multiply by the number itself and

=4225 Add 52 (25) at the last of 42
Answer : 652 = 65 × 65 = 4225
85
8 × (8 + 1)
= 8 × 9
= 72 Add 1 to the left number (8) and multiply by the number itself and
= 7225 add 52 (25) at last of 72
Answer : 852 = 85 × 85 = 7225
155
15 × (15 + 1)
= 15 × 16
= 240 Add 1 to the left number (15) and multiply by the number itself and
= 24025 add 52 (25) at last of 240
Answer : 1552 = 155 × 155 = 2402

Type 2: Squaring of numbers less than 50 and numbers not ending with 5.
Number Steps
34 50 - 16 = 34
52 = 25
= 25 + (-16)
= 9 Square the first digit (5) of first part (50) then add part (-16)
162 = 256 Square the second part of number (16)
9 + 256 = 1156 Add the answers got in step 1 (9)and step 2 (256)
Answer : 342 = 34 × 34 = 1156
28 50 - 22 = 28
52 = 25
= 25 + (-22)
= 3 Square the first digit (5) of first part (50) then add second part (-22)
222 = 484 Square the second part of number (22)
3 + 484 = 784 Add the answers got in step 1 (3)and step 2 (484)
Answer : 282 = 28 × 28 = 784
Type 3: Squaring of numbers less than 50 and numbers not ending with 5.
Number Steps
74 50 + 24 = 74
52 = 25 Square the first digit (5) of first part (50) then add
= 25 + 24
= 49 second part (24)
242 = 576 Square the second part of number 24
49 + 576 = 5476 Add the answers got in step 1 (49)and step 2 (576)
Answer : 742 = 74 × 74 = 5476
57 50 + 7 = 57
52 = 25
= 25 + 7
= 32 Square the first digit (5) of first part (50) then add second part 7
72 = 49 Square the second part of number 7
32 + 49 = 3249 Add the answers got in step 1 (32)and step 2 (49)
Answer : 572 = 57 × 57 = 3249
Type 4: Squaring of number near to their base 10,100,1000, and so on:
Number Steps
105 100 + 5 = Divide the given number to their base and number
105 + 5 = 110 Add the second part of number 5 to the given number (105)
52 = 25 Square the second part of the 52
11025 Combine the numbers from step 1 and step 2
Answer : 1052 = 105 × 105 = 11025
986 1000 - 986 = 14
986 - 14
= 972 The given number 986 is less than 14 from its base value 1000, so the deficient number 14 should be subtracted by the given number 986
142 = 196 Square of deficient number 211
972196 Combine the numbers from step 1 and step 2
Answer : 9862 = 986 × 986 = 972196

If the number is lesser than its nearest base number then the deficient number is reduced from the given number.
If the given number is greater than its nearest base number then the surplus number is added to the given number.

Type 5: Squaring of a number near to their sub base:
Number Steps
306 300 + 6 = Divide the given number to their sub base and number
3 × (306 + 6)
= 3 ×312
= 936
Add the second part of number 6 to the given number (306) and multiply it by 3
62 = 36 Square the second part of the 62
93636 Combine the numbers from step 1 and step 2
Answer : 3062 = 306 × 306 = 93636
480 500 - 480 = 20
480 - 20= 5 ×(480 -20)
=5 × 460
= 2300 The given number 480 is less than 20 from its sub base value 500, so the deficient number 20 should be subtracted by the given number 480 and multiplied by 5
202 =400 Square of deficient number 211
230400 Combine the numbers from step 1 and step 2
Answer : 4802 = 480 × 480 = 230400

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Scripted By: Ghatak Thakur
Voice over by: Dheemraj
Music: Maestro Tlakaelel
Artist: Jesse Gallagher

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