**** Trick to Find Square Root ***** ----------------------------------------------- Get ready for another trick which will help in finding out the square root of a 4 or 5 or 6 digits number mentally. Before going further on the method to find the square root, please make a note of the following points – 1) Square of a 2-digit number will have at max 4 digits (99^2 = 9801). That implies if you are given with a 4 digit number, its square root will have 2 digits. Hence, square root of 5 or 6 digit number will be a 3 digit number. 2) This trick works only for perfect squares, it will not work for any arbitrary 4 or 5 or 6 –digit. Check out the method of finding square root of number which is not a perfect square 3) It works only for integers Now let us start with the trick to find square root in vedic maths way. Say you have to find the square root of 3481. It must be known that it’s a perfect square. Now divide this number into two parts. The right hand side should always have 2 digits. Remaining digits will come in left hand side. Do it as shown below. 34 | 81 You know the answer will have 2 digits. Digit at tens place and digit at units place. We will get the digit at tens place using the left hand side of the original number (34) and digit at units place using right hand side of the number (81) Step 1. Memorize these tables (very soon you will know why) – Table 1: Square of 1 to 10 Number Square 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 For finding square root of 5 digit numbers you need to know the square of number greater than 10 Table 2: Unit’s digit of Square Roots Square Ends in Square Root Ends in 1 1 or 9 2 NA 3 NA 4 2 or 8 5 5 6 4 or 6 7 NA 8 NA 9 3 or 7 0 0 Please note that numbers with unit’s digit being 2, 3, 7 and 8 can’t be perfect squares. Hence NA (not applicable) is written in front of such numbers. Step 2. For left hand side we need to use table 1. We have to see between which 2 numbers in the 2nd column do 34 lies. In this case it lies between 25 and 36. So we will take the square root of the smaller number i.e. 25 which is 5. So 5 is the tens digit of the answer. Step 3. For right hand side we need to use table 2. Since our original number (the perfect square) ends in 1 (see 2481), its square root will end in either 1 or 9. Step 4. Just observe the left hand side of the number carefully i.e. 34. If it’s closer to larger square in step 2 (36), we’ll choose the bigger number out of 1 and 9. If it would have been closer to smaller square in step 2 (i.e. 25), we would have taken smaller number i.e. 1 as the unit’s digit However, in this case 34 is closer to bigger square i.e. 36, hence, the unit digit will be 9 and not 1. Combining the above results we get the answer as 59. Thus (3481)^1/2 = 59 I hope you like the trick to find the square root. Find the square root of 13689, 7921 and 1296. Post your answers below.
Posted on: Mon, 05 Aug 2013 15:40:39 +0000
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