Square Root of 1202
2026-02-28 01:16 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1202

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 1202, we need to group it as 02 and 12.

Step 2: Now we need to find n whose square is less than or equal to 12. We can say n as ‘3’ because 3 x 3 = 9 is less than 12. Now the quotient is 3, and after subtracting 9 from 12, the remainder is 3.

Step 3: Now let us bring down 02, which is the new dividend. Add the old divisor with the same number (3 + 3) to get 6, which will be our new divisor.

Step 4: Now we need to find a digit, say m, such that 6m x m is less than or equal to 302.

Step 5: Let m be 4, then 64 x 4 = 256.

Step 6: Subtract 256 from 302, the difference is 46, and the quotient is 34.

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 4600.

Step 8: Now we need to find the new divisor that is 689 because 689 x 6 = 4134.

Step 9: Subtracting 4134 from 4600, we get the result 466.

Step 10: Now the quotient is 34.6.

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

So the square root of √1202 is approximately 34.671.