Square Root of 4050
2026-02-28 10:36 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-4050

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 4050, we need to group it as 50 and 40.

Step 2: Now we need to find n whose square is 40. We can say n as ‘6’ because 6 x 6 is lesser than or equal to 40. Now, the quotient is 6. After subtracting 36 (6 x 6) from 40, the remainder is 4.

Step 3: Bring down 50, making the new dividend 450. Add the old divisor with the same number, 6 + 6, to get 12, which will be our new divisor.

Step 4: We need to find n such that 12n x n ≤ 450. Let us consider n as 3, now 123 x 3 = 369.

Step 5: Subtract 369 from 450; the difference is 81, and the quotient now is 63.

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 zeroes to the dividend. Now, the new dividend is 8100.

Step 7: We need to find the new divisor, which is 636, because 636 x 1 = 636.

Step 8: Subtracting 636 from 8100, we get a remainder of 1740.

Step 9: The quotient is 63.6.

Step 10: Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.

So the square root of √4050 is approximately 63.64.