ToThere are main two ways to find square root of a given number. 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 . 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. Its symbol is called a radical and it is represented like this: √ Example: Find the square root for 40 using 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. how or why the method long division for finding square root of a number works. Find the square root of 2025 / 4900; Find the least number that must be added to 6412 to get a perfect square. This method is explained below with the help of a few examples. we will add 8+8 , we get 16 . Let us understand long division method with the help of an example. View Answer 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. Know and learn the method or the process from which you can find the approximate value of the square root of 10. Ask Question Asked 10 months ago. Find the least 4 digit perfect square number. Active 10 months ago. Steps involved in square root by long- division method. The square root of number is a number which is multiplied by the same number, which as a result gives the original number back. Please guide me. 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. 1. 5. As the number 10 is not a perfect square, so we cannot get root 10 value easily. Step 1) Set up 2304 in pairs of two digits from right to left: square root of 72* square root of 338 . Taking 484 as the number whose square root is to be evaluated. 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. Long division method 2. Now on left side ( see the fig.) Find the least number that must be subtracted from 5 6 0 7 so as to get a perfect square. 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. Long division is a very common method to find the square root of a number. This is the lost art of how they calculated the square root of 2304 by hand before modern technology was invented. 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. 7. Find the greatest 3 digit and 4 digit perfect square. 8. Given, Number = 40. Step 1 : x 4 has been decomposed into two equal parts x 2 and x 2.. 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. 4. 6. Question 1 : Find the square root of the following polynomials by division method (i) x 4 −12x 3 + 42x 2 −36x + 9. Also, find the square root of the perfect square. By continuting in this way, we get the following steps. 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. Step 1: Place a bar over every pair of digits starting from the unit digit. Square root of a number by long division method. 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