![]() Calculating Square Root by Long Division Method 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 number to 15. This method helps in estimating and approximating the square root of a given number. Finding 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.Step 4: Find the product of the factors obtained by taking one factor from each pair. ![]() Step 2: Form pairs of factors such that both factors in each pair are equal. ![]()
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