By continuting in this way, we get the following steps. Square root of a number by long division method. If the number of digits in it is odd, then the left-most single digit too will have a bar.Thus we have, 7 29.So 1st bar is on 29 and 2nd bar is on 7. 8. ToThere are main two ways to find square root of a given number. Also, to find the square roots of imperfect squares such as 2,3,5,6,8,etc., we can use long division method avoiding the use of calculators. 5. If you want to know the square root of 10 value approximately (exact value difficult to find), we must use the long division method definitely. Question 1 : Find the square root of the following polynomials by division method (i) x 4 −12x 3 + 42x 2 −36x + 9. 6. The following is the stepwise solution for this method: The following is the stepwise solution for this method: Divide the digits of the number into pairs of segments starting with the digit in the units place. Step 1: Place a bar over every pair of digits starting from the unit digit. Viewed 179 times 1 $\begingroup$ I was wondering how this method developed and also how it works to give the square root of a number upto a large number of decimal digits . Given, Number = 40. Please guide me. This is the lost art of how they calculated the square root of 2304 by hand before modern technology was invented. Long division method 2. Step 1 : x 4 has been decomposed into two equal parts x 2 and x 2.. Long division is a very common method to find the square root of a number. Now subtract square of 8 which is 64 from first pair that is 79 , write the remainder below and copy down the next pair just after it. Find the greatest 3 digit and 4 digit perfect square. Know and learn the method or the process from which you can find the approximate value of the square root of 10. Step 2 : Multiplying the quotient (x 2) by 2, so we get 2x 2.Now bring down the next two terms -12x 3 and 42x 2.. By dividing -12x 3 by 2x 2, we get -6x. Its symbol is called a radical and it is represented like this: √ Example: Find the square root for 40 using long division method. The nearest number to 79 which is a perfect square is 64 which is square of 8, we have obtained first digit of square root of 7921 I.e. 7. we will add 8+8 , we get 16 . Find the square root of 2025 / 4900; Find the least number that must be added to 6412 to get a perfect square. Taking 484 as the number whose square root is to be evaluated. Active 10 months ago. Ask Question Asked 10 months ago. How to find the square root of 2304 by long division method Here we will show you how to calculate the square root of 2304 using the long division method. Find the least number that must be subtracted from 5 6 0 7 so as to get a perfect square. 1. Step 1) Set up 2304 in pairs of two digits from right to left: 4. Rule to find the square root of a number by division method: In case of numbers where the factorization is not easy or of big numbers or of numbers whose square root is not exact, we find the square root of such numbers by division method. Also, find the square root of the perfect square. View Answer how or why the method long division for finding square root of a number works. Steps involved in square root by long- division method. This method is explained below with the help of a few examples. square root of 72* square root of 338 . Now on left side ( see the fig.) Let us understand long division method with the help of an example. Also, find the square root of the perfect square. The square root of number is a number which is multiplied by the same number, which as a result gives the original number back. As the number 10 is not a perfect square, so we cannot get root 10 value easily. Find the least 4 digit perfect square number. 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