Dear Mr. BrijendraPal (MeritNationExpert) and everyone,
The answer you provided to my question was not appropriate due to the fact that the link referred by you helps in finding square while I wanted square root.
Please view my question again (Please read the full question and please view example 2 in Vedic Maths section):
this is with reference to Vedic Maths from Meritnation. the topic is square root of a number. After the second video (explanation of how to find square root) the second example question given, i.e calculate the square root of 16384 is not understood.
Can someone explain it and if anything different (exceptions from normal rules) is there then elaborate on that (generalised statement) with a reason (Example If R = 0 then in the next step the actualdividendcomes out to be negative. Hence Q = 2, R = 2 is taken, well but will R be 2 every time dividend is coming out to be negative).
Please experts or others, if your answer is not answering the question (Eg. We cannot answer this question) then please don't answer and leave the question for other users/experts
.
Dear Student
We are sorry for the inconvenience caused but here I am providing you the detailed answer for the same query with other approach:
Step1:
| 1 : 6 3 8 4
2 | :0 0
-----------------
| 1 : 3
We see that divisor 2, can fully divide 06 with quotient 3 and no remainder. This would then lead to a new gross dividend to 3, and a net dividend to -6 because the duplex of 3 is 9.
This type of complication occurs many times. To solve this problem, we reduce the second quotient to 2 and carry over a remainder of 2 to the next step. As shown below:
| 1 : 6 3 8 4
2 | :0 2
-----------------
| 1 : 2
Step2: Next gross dividend is 23, and a net dividend is 19 (23 - the duplex of 2, which is 4).Divide this 19 by 2 and put down Quotient as 1 and reminder 1 in their proper places
| 1 : 6 3 8 4
2 | :0 2 1
-------------------
| 1 : 2 9
Again, the same case arises. Divisor 2 divides 18 with quoitent 9 and reminder 0. And then the new gross dividend is 4 and net dividend is -32 (4 - D(29)= -32). So, we reduce the third quotient to 8 and carry over a reminder of 3 to the next step.
| 1 : 6 3 8 4
2 | :0 2 3
--------------------
| 1 : 2 8
Step3: Gross dividend is 38 and net dividend is 6 (38 - D(28) = 6). Divide this 6 by 2 and put down Quotient as 3 and reminder 0 in their proper places
| 1 : 6 3 8 4
2 | :0 2 3 0
------------------
| 1 : 2 8 . 3
But again net dividend comes negative. so, we reduce the quotient to 2, and we get
| 1 : 6 3 8 4
2 | :0 2 3 2
------------------
| 1 : 2 8 . 2
Here gross dividend is 24 and net dividend which is again negative. Again we reduce the quotient to 1, but again the net dividend comes negative. So, now the new quotient is 0.
| 1 : 6 3 8 4
2 | :0 2 3 6
------------------
| 1 : 2 8 . 0
Step4: Gross dividend is 64. From 64 subtract Duplex D(280), gets 0.
| 1 : 6 3 8 4
2 | :0 2 3 6
---------------------
| 1 : 2 8 . 0 0
The final answer is 128.
Or more precisely refer the another method:
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We are sorry for the inconvenience caused but here I am providing you the detailed answer for the same query with other approach:
Step1:
| 1 : 6 3 8 4
2 | :0 0
-----------------
| 1 : 3
We see that divisor 2, can fully divide 06 with quotient 3 and no remainder. This would then lead to a new gross dividend to 3, and a net dividend to -6 because the duplex of 3 is 9.
This type of complication occurs many times. To solve this problem, we reduce the second quotient to 2 and carry over a remainder of 2 to the next step. As shown below:
| 1 : 6 3 8 4
2 | :0 2
-----------------
| 1 : 2
Step2: Next gross dividend is 23, and a net dividend is 19 (23 - the duplex of 2, which is 4).Divide this 19 by 2 and put down Quotient as 1 and reminder 1 in their proper places
| 1 : 6 3 8 4
2 | :0 2 1
-------------------
| 1 : 2 9
Again, the same case arises. Divisor 2 divides 18 with quoitent 9 and reminder 0. And then the new gross dividend is 4 and net dividend is -32 (4 - D(29)= -32). So, we reduce the third quotient to 8 and carry over a reminder of 3 to the next step.
| 1 : 6 3 8 4
2 | :0 2 3
--------------------
| 1 : 2 8
Step3: Gross dividend is 38 and net dividend is 6 (38 - D(28) = 6). Divide this 6 by 2 and put down Quotient as 3 and reminder 0 in their proper places
| 1 : 6 3 8 4
2 | :0 2 3 0
------------------
| 1 : 2 8 . 3
But again net dividend comes negative. so, we reduce the quotient to 2, and we get
| 1 : 6 3 8 4
2 | :0 2 3 2
------------------
| 1 : 2 8 . 2
Here gross dividend is 24 and net dividend which is again negative. Again we reduce the quotient to 1, but again the net dividend comes negative. So, now the new quotient is 0.
| 1 : 6 3 8 4
2 | :0 2 3 6
------------------
| 1 : 2 8 . 0
Step4: Gross dividend is 64. From 64 subtract Duplex D(280), gets 0.
| 1 : 6 3 8 4
2 | :0 2 3 6
---------------------
| 1 : 2 8 . 0 0
The final answer is 128.
Or more precisely refer the another method: