How to find the square root of a number without using prime factorisation, long division method or estimation? (using vedic maths) Share with your friends Share 0 Rishabh Mittal answered this Duplex means squaring or multiplying.It is useful in finding out square root and square of number.→duplex of one digit number is find out by squaring it.Duplex2=22=4.→duplex of two digit number is find out by multiplying both digits and multiplying with 2.Duplex42=24×2=16.→Duplex of three digit number is find out by squaring the middle digit and adding it with the product of first digit, third digit and 2.Duplex432=32+24×2=9+16=25→Duplex of four digit number is find out by adding the twice of product of middle digits and twice the product of outer digits.Duplex1245=21×5+22×4=10+16=26.↦Finding square root using duplex.We understand it by taking example.We find out the square root of 734449.it is a six digit number , n=6 .so digits in the square root is n2=3. so we paired it as 73,44,49. | 73 : 4 4 4 9 | :---------- | :now , perfect square less than 73 is 64. and its square root is 8.write down this 3 and remainder 973-64=9 as shown below:and 188×2=16 on left of | . | 73 : 4 4 4 916| 64 :9---------- | 8 :we have 9 as remainder and will take 3 from above . which equates to 94,gross dividend.now divide 94 by divisor 16 and put the quotient =5 in last line and remainder =14 in second line. | 73 : 4 4 4 916| 64 :9 14---------- | 8 :5now , gross dividend is 144. from 144 subtract 25 duplex of 5. now actual dvidend is 119.divide 119 by 16 giving quotient=7 and remainder=7. | 73 : 4 4 4 916| 64 :9 14 7---------- | 8 :5 7now , gross dividend is 74, from 74 subtract 70 duplex of 57.now actual dividend is 4.Divide 4 by 16 giving quotient = 0 and remainder=4 | 73 : 4 4 4 916| 64 :9 14 7 4---------- | 8 :5 7. 0put decimal after 3 digit as square root is of 3 digitsnow , gross dividend is 49, from 49 subtract 49 duplex of 570.now actual dividend is 0.Divide 0 by 16 giving quotient = 0 and remainder=0. | 73 : 4 4 4 916| 64 :9 14 7 4---------- | 8 :5 7. 0 0so, 734449=857. 2 View Full Answer
