Step 1) Set up 2304 in pairs of two digits from right to left: 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. 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. 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 . Let us understand long division method with the help of an example. Also, find the square root of the perfect square. 5. This is the lost art of how they calculated the square root of 2304 by hand before modern technology was invented. 6. 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. Find the greatest 3 digit and 4 digit perfect square. Step 1 : x 4 has been decomposed into two equal parts x 2 and x 2.. Active 10 months ago. Question 1 : Find the square root of the following polynomials by division method (i) x 4 −12x 3 + 42x 2 −36x + 9. Find the least 4 digit perfect square number. Square root of a number by long division method. 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. Ask Question Asked 10 months ago. 8. Long division is a very common method to find the square root of a number. Its symbol is called a radical and it is represented like this: √ Example: Find the square root for 40 using long division method. Steps involved in square root by long- division method. 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. 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. 4. Now on left side ( see the fig.) Please guide me. how or why the method long division for finding square root of a number works. Given, Number = 40. Step 1: Place a bar over every pair of digits starting from the unit digit. View Answer The square root of number is a number which is multiplied by the same number, which as a result gives the original number back. Find the least number that must be subtracted from 5 6 0 7 so as to get a perfect square. Find the square root of 2025 / 4900; Find the least number that must be added to 6412 to get a perfect square. 1. As the number 10 is not a perfect square, so we cannot get root 10 value easily. 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. Know and learn the method or the process from which you can find the approximate value of the square root of 10. Long division method 2. Also, find the square root of the perfect square. This method is explained below with the help of a few examples. 7. 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. 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. By continuting in this way, we get the following steps. Taking 484 as the number whose square root is to be evaluated. 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