Square Root of 1130
2026-02-28 11:59 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1130

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 1130, we need to group it as 30 and 11.

Step 2: Now we need to find n whose square is 11. We can say n as ‘3’ because 3 x 3 = 9, which is less than or equal to 11. Now the quotient is 3, subtracting 9 from 11 gives the remainder 2.

Step 3: Now let us bring down 30, making the new dividend 230. Add the old divisor with the same number 3 + 3 to get 6, which will be our new divisor.

Step 4: We need to find a digit n such that 6n x n is less than or equal to 230. Let n be 3, so 63 x 3 = 189.

Step 5: Subtract 189 from 230, the difference is 41, and the quotient is 33.

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 zeros to the dividend. Now the new dividend is 4100.

Step 7: Find a new digit n such that 663n x n is less than or equal to 4100. Let n be 6, so 6636 x 6 = 39816.

Step 8: Subtracting 39816 from 4100 gives the result 284.

Step 9: The quotient is now 33.6. 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 √1130 is approximately 33.63.