Square Root of 453
2026-02-28 00:48 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-453

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 digits from right to left. In the case of 453, we need to group it as 53 and 4.

Step 2: Now we need to find n whose square is less than or equal to 4. We can say n as ‘2’ because 2 x 2 = 4. Now the quotient is 2, and after subtracting 4 - 4, the remainder is 0.

Step 3: Now let us bring down 53, which is the new dividend. Add the old divisor with the same number: 2 + 2 = 4, which will be our new divisor.

Step 4: The new divisor will be 4n. We need to find the value of n such that 4n x n is less than or equal to 53.

Step 5: Let n be 1; now 41 x 1 = 41.

Step 6: Subtract 53 from 41, and the difference is 12. The quotient is now 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 add two zeroes to the dividend. The new dividend is 1200.

Step 8: Now we need to find the new divisor, which is 425 because 425 x 2 = 850.

Step 9: Subtracting 850 from 1200, we get 350.

Step 10: The quotient is now 21.2.

Step 11: Continue these steps until we get an accurate decimal value or until the remainder is zero.

The square root of √453 is approximately 21.283.