Square Root of 636
2026-02-28 09:11 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-636

The long division method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step.

Step 1: To begin with, we need to group the numbers from right to left. In the case of 636, we need to group it as 36 and 6.

Step 2: Now we need to find n whose square is 6. We can say n as ‘2’ because 2 x 2 is less than or equal to 6. Now the quotient is 2, and after subtracting 4 from 6, the remainder is 2.

Step 3: Now let us bring down 36, which is the new dividend. Add the old divisor with the same number 2 + 2 to get 4, which will be our new divisor.

Step 4: The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor, we need to find the value of n.

Step 5: The next step is finding 4n x n ≤ 236. Let us consider n as 5, now 45 x 5 = 225.

Step 6: Subtract 225 from 236. The difference is 11, and the quotient is 25.

Step 7: Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 1100.

Step 8: Now we need to find the new divisor, which is 252 because 252 x 4 = 1008.

Step 9: Subtracting 1008 from 1100, we get the result 92.

Step 10: Now the quotient is 25.2.

Step 11: Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values, continue till the remainder is zero.

So the square root of √636 is approximately 25.24.