Square Root of 2800
2026-02-21 20:28 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-2800

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 2800, we need to group it as 28 and 00.

Step 2: Now we need to find n whose square is closest to 28. We can say n as ‘5’ because 5 x 5 is 25, which is less than 28. Now the quotient is 5, and after subtracting 25 from 28, the remainder is 3.

Step 3: Now let us bring down 00, which is the new dividend. Add the old divisor with the same number 5 + 5 to get 10, which will be our new divisor.

Step 4: The new divisor will be the sum of the dividend and quotient. Now we get 10n as the new divisor, we need to find the value of n.

Step 5: The next step is finding 10n × n ≤ 300. Let us consider n as 2, now 10 x 2 x 2 = 40

Step 6: Subtract 40 from 300, the difference is 260, and the quotient is 52.

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 26000.

Step 8: Now we need to find the new divisor, which is 529 because 1059 x 5 = 5295.

Step 9: Subtracting 5295 from 26000, we get the result 20705.

Step 10: Now the quotient is 52.9.

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

So the square root of √2800 is approximately 52.92.