Скачать или смотреть Get Square of Any Number in Your Head Through Vedic Maths Trick!

"VEDIC MATHEMATICS", which has a list of mathematical tricks to solve maths calculations faster than traditional methods. It gives the easiest way to solve addition, subtraction, multiplication, division, and related problems. Vedic mathematics can applied to pneumatics, statics, astronomy, and the financial domain.
Squaring Tricks!

A number, when multiplied by the number itself the product obtained, is called "SQUARE OF THAT NUMBER ". Here are some examples followed by Square tricks.

Example

Number Square of the number
62 6 × 6 = 36
82 8 × 8 = 64
122 12 × 12 = 144
Now we shall learn few basic Vedic mathematics methods or Vedic Maths Squaring Tricks:

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.

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