Vedic maths. Find square of the number 539²
Use the Vedic math method only.
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Answers
Vedic Maths :
Multiplication and Squaring of positive integers.
539 X 539 = 539²
Here " | " means separation of one digit in the result
from another digit. D( ) means the digit from the number inside
parentheses.
539² = D(5) | D(53)
| D(539) |
D(39) | D(9)
= 5² |
2 x 5 x 3 | 2 x 5 x 9 + 3² | 2 x 3 x 9
| 9²
= 25 | 30 |
99 |
54 | 81
= 25 |
30 | 99
| 54+8
| 1
= 25 |
30 | 99 +
6 | 2
| 1
= 25 |
30 | 105
| 21
= 25 | 30+10 |
5 |
21
= 25+4 | 0 |
521
= 290, 521
Answer 290, 521
...........
539 = 539 ×539
=. 1st method = 9 × 9 = 81
( carry 8 ). ( write1 )
=================================
2nd method = 9×3×2
= 54 + Carry 8
= 62 ( carry 6 )
(write 2)
_________________________________
3rd step = 9×5×2 = 90
90 + 3×3 =9
99 + carry 6
= 105 ( carry 10 )
( write 5 )
-------------------------------------------------------------
4th step. = 5×3×2
= 30 + carry 10
= 40 ( carry 4 )
( write 0 )
******************************************************
5th step = 5×5 = 25
=25 + carry 4 =29
( write 29 )
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
1. in first step we write = 1
2. in second we write = 2
3. in third step we write=5
4. in Fourth step we write=0
5. in 5th step we write = 29
means that the
= 290521
= I have used the trick which is given in the image
