Square Root of 1.42
2026-02-21 20:42 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1.42

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 1.42, we start with 1 and then 42.

Step 2: Now we need to find a number whose square is closest to 1. That number is 1, because 1 x 1 is equal to 1. Now the quotient is 1 after subtracting 1 - 1 the remainder is 0.

Step 3: Bring down 42, the new dividend. Add the old divisor with the same number: 1 + 1 = 2, which will be our new divisor.

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

Step 5: The next step is finding 2n x n ≤ 42. Let us consider n as 1, now 2 x 1 x 1 = 2.

Step 6: Subtract 42 from 2, the difference is 40, and the quotient is 1.1.

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 4000.

Step 8: Now we need to find the new divisor. We can use 21 because 211 x 1 = 211.

Step 9: Subtracting 211 from 4000 we get the result 1789. Step 10: Now the quotient is 1.19.

Step 11: Continue doing these steps until we get two numbers after the decimal point or until the remainder is zero.

So, the square root of √1.42 is approximately 1.191.