Square Root of 246
2026-02-28 09:14 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-246

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 246, we need to group it as 46 and 2.

Step 2: Now we need to find n whose square is less than or equal to 2. We can say n as ‘1’ because 1 × 1 is lesser than or equal to 2. Now the quotient is 1, and after subtracting 1 × 1 from 2, the remainder is 1.

Step 3: Now let us bring down 46, which is the new dividend. Add the old divisor with the same number 1 + 1, we get 2, which will be our new divisor.

Step 4: The new divisor will be 2n, where n is a digit we need to find such that 2n × n ≤ 146.

Step 5: Let n be 7, so 27 × 7 = 189, which is greater than 146, so we try n as 5.

Step 6: 25 × 5 = 125, now subtract 125 from 146, the difference is 21.

Step 7: Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to bring down two zeroes, making the new dividend 2100.

Step 8: Now we need to find the new divisor, which will be 2 times the quotient plus a digit. So, it is 31, and we find 315 × 5 = 1575.

Step 9: Subtracting 1575 from 2100, we get the result 525.

Step 10: The quotient is now 15.6.

Step 11: Continue doing these steps until we get two numbers after the decimal point. So the square root of √246 is approximately 15.68.