Square Root of 18.75
2026-02-28 04:25 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-18.75

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 18.75, we need to group it as 18 and 75.

Step 2: Now we need to find n whose square is 16. We can say n as ‘4’ because 4 x 4 is lesser than or equal to 18. Now the quotient is 4, after subtracting 16 from 18, the remainder is 2.

Step 3: Now let us bring down 75 which is the new dividend. Add the old divisor with the same number 4 + 4, we get 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 x n ≤ 275. Let us consider n as 3, now 83 x 3 = 249.

Step 6: Subtract 275 from 249, the difference is 26, and the quotient is 4.3.

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 2600.

Step 8: Now we need to find the next divisor that is 866 because 866 x 3 = 2598.

Step 9: Subtracting 2598 from 2600, we get the result 2.

Step 10: Now the quotient is 4.33.

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 √18.75 is approximately 4.33.