Square Root of 0.001
2026-02-28 23:27 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-0.001

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 0.001, we need to group it as 00 and 01.

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

Step 3: Now let us bring down 01 which is the new dividend. Add the old divisor with the same number 0 + 0 we get 0 which will be our new divisor.

Step 4: The new divisor will be 0n as the new divisor, we need to find the value of n.

Step 5: The next step is finding 0n × n ≤ 1, let us consider n as 3, now 0.3 × 3 = 0.9.

Step 6: Subtracting 1 from 0.9, the difference is 0.1, and the quotient is 0.03.

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 100.

Step 8: Now we need to find the new divisor that is 63 because 63 × 3 = 189.

Step 9: Subtracting 189 from 1000, we get the result 811.

Step 10: Now the quotient is 0.031.

Step 11: Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values continue until the remainder is zero.

So the square root of √0.001 is approximately 0.0316.