Square Root of 1.43
2026-02-28 13:01 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1.43

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 1.43, we treat it as 1.43.

Step 2: Now we need to find n whose square is closest to 1. We can say n as ‘1’ because 1 × 1 is lesser than or equal to 1. Now the quotient is 1, and after subtracting 1 - 1, the remainder is 0.

Step 3: Now let us bring down 43, which is the new dividend. Add the old divisor with the same number 1 + 1 to get 2, which will be our new divisor.

Step 4: The new divisor will be 2n, and we need to find the value of n.

Step 5: The next step is finding 2n × n ≤ 43. Let us consider n as 1, now 2 × 1 × 1 = 2.

Step 6: Subtract 2 from 43; the difference is 41, and the quotient is 1.

Step 7: Since the dividend has no more digits, 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 4100.

Step 8: Now we need to find the new divisor that fits. Let us consider 21.9 because 219 × 9 = 1971.

Step 9: Subtracting 1971 from 4100, we get the result 2129.

Step 10: Continue this process until we have the desired precision.

The quotient so far is approximately 1.19.