The d obtained from the above step is the next digit of the square root.In our example, 2p = 2* 7= 14 (shown in red in the figure). Hit and trial: Now, find the greatest digit d such that ((2p) |d) * d ≤ r.In our example, we bring down 96 to get 196. Now, bring down the next group’s digits next to the remainder.
![square root calculator square root calculator](https://i.ytimg.com/vi/-uWeo48eyBs/maxresdefault.jpg)
Subtract the square of this number from the leftmost group and note down the remainder. In our case, the current partial square root, p = 7. Let’s call the current number present at the top as “ current partial square root”, denoted by p. This will form the first digit of the square root.
![square root calculator square root calculator](https://www.squarerootcalculator.co/square-root-TI-84-Plus.jpg)
This is where the digit-by-digit calculation technique (henceforth referred to as the square root algorithm, or simply algorithm) comes in real handy. Also, in cases where the smallest prime factor of the given number is quite large, we may not even be able to start with the procedure (e.g., 12643277 = 3089 * 4093). Digit-by-digit calculation: Notice that the above method turns out to be extremely tedious when dealing with large numbers.Calculating the square root of 900 using prime factorisation.