Square Root of 1560
2026-02-28 17:52 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1560

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 1560, we need to group it as 60 and 15.

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

Step 3: Now let us bring down 60, which is the new dividend. Add the old divisor with the same number 3 + 3, we get 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, we need to find the value of n.

Step 5: The next step is finding 6n × n ≤ 660. Let us consider n as 9; now 69 x 9 = 621.

Step 6: Subtract 660 from 621; the difference is 39, and the quotient is 39.

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 zeros to the dividend. Now the new dividend is 3900.

Step 8: Now we need to find the new divisor, which is 798, because 798 x 4 = 3192.

Step 9: Subtracting 3192 from 3900, we get the result 708.

Step 10: Now the quotient is 39.4.

Step 11: Continue doing these steps until we get two numbers after the decimal point or until the remainder is zero.

So the square root of √1560 is approximately 39.496.