Square Root of 2020
2026-02-28 10:26 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-2020

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 2020, we need to group it as 20 and 20.

Step 2: Now we need to find n whose square is ≤ 20. We can say n is ‘4’ because 4 x 4 = 16, which is less than or equal to 20. Now the quotient is 4 after subtracting 16 from 20, the remainder is 4.

Step 3: Now let us bring down the next pair, 20, which is the new dividend. Add the old divisor with the same number 4 + 4 = 8, which will be our new divisor.

Step 4: The new divisor will be the sum of the dividend and quotient. Now we get 8n as the new divisor, we need to find the value of n.

Step 5: The next step is finding 8n × n ≤ 420. Let us consider n as 5, now 85 x 5 = 425, which is greater than 420. Try n as 4, 84 x 4 = 336.

Step 6: Subtract 336 from 420; the difference is 84, and the quotient is 44.

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 8400.

Step 8: Now we need to find the new divisor, which is 9 because 889 x 9 = 8001.

Step 9: Subtracting 8001 from 8400, we get the result 399.

Step 10: Now the quotient is 44.9.

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 √2020 is approximately 44.94.