Square Root of 579
2026-02-28 15:47 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-579

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 579, we need to group it as 79 and 5.

Step 2: Now we need to find a number whose square is close to 5. We can choose 2 because 2 x 2 = 4, which is less than 5. The quotient is 2, and after subtracting 4 from 5, the remainder is 1.

Step 3: Now let us bring down 79, which is the new dividend. Add the old divisor with the same number, 2 + 2 = 4, which will be our new divisor.

Step 4: We need to find a digit x such that 4x x x is less than or equal to 179. Choosing x as 4, we get 44 x 4 = 176.

Step 5: Subtract 176 from 179, the difference is 3, and the quotient is 24.

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 300.

Step 7: Find the new divisor that is 48 because 48 x 6 = 288, which is less than 300. Step 8: Subtracting 288 from 300, we get 12. Step 9: Continue these steps until we get two numbers after the decimal point.

So the square root of √579 ≈ 24.06