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To the right of the obtained sum, find a suitable number which, together with the result of the sum, forms a new divisor for the new dividend that is carried down. Add the last digit of the quotient to the divisor. Step 3: Bring down the number under the next bar to the right of the remainder. Step 2: We divide the left-most number by the largest number whose square is less than or equal to the number in the left-most pair.Step 1: Place a bar over every pair of digits of the number starting from the units' place (right-most side).Let us understand the process of finding square root by the long division method with an example. We can find the exact square root of any given number using this method. Long Division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. This is a very long process and time-consuming. We can repeat the process and check between 3.85 and 3.9. This implies that √15 lies between 3.8 and 3.9. Thus, √15 lies between 3.5 and 4 and is closer to 4. Now, we need to see if √15 is closer to 3 or 4. This implies that √15 lies between 3 and 4. 9 and 16 are the perfect square numbers nearest to 15. Find the nearest perfect square numbers to 15. This method helps in estimating and approximating the square root of a given number. Square Root by Estimation MethodĮstimation and approximation refer to a reasonable guess of the actual value to make calculations easier and more realistic. This method works when the given number is a perfect square number. Let us find the square root of 144 by this method. Step 5: That product is the square root of the given number.
![negative square root negative square root](http://shermanalgebra.weebly.com/uploads/3/9/9/3/39936521/screen-shot-2017-05-08-at-9-47-19-am_orig.png)
Step 4: Find the product of the factors obtained by taking one factor from each pair.Step 2: Form pairs of similar factors such that both factors in each pair are equal.
![negative square root negative square root](https://study.com/cimages/multimages/16/Square_Root_Symbol_16.png)
![negative square root negative square root](https://i.ytimg.com/vi/sM7BBKgAvzc/maxresdefault.jpg)
Perfect squares are those positive numbers that can be expressed as the product of a number by itself. It is very easy to find the square root of a number that is a perfect square.