Square Root of 1332
2026-02-28 10:49 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1332

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 1332, we need to group it as 32 and 13.

Step 2: Now we need to find n whose square is ≤ 13. We can say n as ‘3’ because 3 × 3 = 9 is lesser than or equal to 13. Now the quotient is 3, and after subtracting 9 from 13, the remainder is 4.

Step 3: Now let us bring down 32, 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 previous divisor 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 ≤ 432. Let us consider n as 7, now 67 × 7 = 469, which is more than 432, so we try n as 6. Then 66 × 6 = 396.

Step 6: Subtract 396 from 432, the difference is 36, and the quotient is now 36.

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 3600.

Step 8: Now we need to find the new divisor that is 731 because 731 × 5 = 3655.

Step 9: Subtracting 3655 from 3600 gives us a negative result, so we try 730 × 4 = 2920.

Step 10: Now the quotient is 36.4

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 √1332 is approximately 36.5.