Square Root of 1550
2026-02-28 10:21 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1550

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 1550, we need to group it as 50 and 15.

Step 2: Now we need to find n whose square is 15. We can say n is ‘3’ because 3 x 3 is lesser than or equal to 15. Now the quotient is 3, and after subtracting 9 from 15, the remainder is 6.

Step 3: Now let us bring down 50, which is the new dividend. Add the old divisor with the same number: 3 + 3 = 6, which will be our new divisor.

Step 4: The new divisor will be the sum of the dividend and quotient. Now we get 6n as the new divisor, and we need to find the value of n.

Step 5: The next step is finding 6n × n ≤ 650. Let's consider n as 9, so 69 x 9 = 621. Subtracting 621 from 650, the difference is 29, and the quotient is 39.

Step 6: 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 2900.

Step 7: Now we need to find the new divisor that is 78 because 787 x 3 = 2361.

Step 8: Subtracting 2361 from 2900, we get the result 539.

Step 9: Now the quotient is 39.3.

Step 10: 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 √1550 is approximately 39.37.