Square Root of 2900
2026-02-28 11:30 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-2900

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 2900, we need to group it as 29 and 00.

Step 2: Now we need to find n whose square is less than or equal to 29. We can say n as ‘5’ because 5 × 5 = 25, which is less than 29. Now the quotient is 5, and after subtracting 29 - 25, the remainder is 4.

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 the 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 ≤ 400. Let us consider n as 3, now 10 × 3 × 3 = 90

Step 6: Subtract 400 from 90, the difference is 310, and the quotient is 53

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 31000.

Step 8: Now we need to find the new divisor that is 107 because 1077 × 7 = 7539

Step 9: Subtracting 7539 from 31000 we get the result 23461.

Step 10: Now the quotient is 53.8

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

So the square root of √2900 is approximately 53.85