Rivalry2

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Original 2026-01-01

Modified 2026-02-28

1 - nginx

1 + The<a>long division</a>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<a>square root</a>using the long division method, step by step.

2 + Step 1:To begin with, we need to group the numbers from right to left. In the case of 1641, we need to group it as 41 and 16.

3 + Step 2:Now we need to find n whose square is ≤16. We can say n is 4 because 4 x 4 = 16, which is equal to 16. Now the<a>quotient</a>is 4 after subtracting 16 - 16; the<a>remainder</a>is 0.

4 + Step 3:Now let us bring down 41, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 4 + 4, we get 8, which will be our new divisor.

5 + Step 4:The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 8n as the new divisor, we need to find the value of n.

6 + Step 5:The next step is finding 8n × n ≤ 41. Let us consider n as 5. Now, 8 x 5 = 40, which is less than or equal to 41.

7 + Step 6:Subtract 41 from 40; the difference is 1, and the quotient is 45.

8 + 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.

9 + Step 8:Now we need to find the new divisor that is 90 (since 450 + 5 = 455, and 455 x 0.5 = 100).

10 + Step 9:Subtracting 100 from 100, we get the result 0.

11 + Step 10:Now the quotient is 40.5.

12 + Step 11:Continue doing these steps until we get two numbers after the decimal point. Suppose if there is no decimal value, continue till the remainder is zero.

13 + So the square root of √1641 is approximately 40.505.

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