0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>The long<a>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.</p>
1
<p>The long<a>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.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 637, we need to group it as 37 and 6.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 637, we need to group it as 37 and 6.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 6. We can say n is ‘2’ because 2 × 2 = 4 is less than 6. Now the<a>quotient</a>is 2, and after subtracting 4 from 6, the<a>remainder</a>is 2.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 6. We can say n is ‘2’ because 2 × 2 = 4 is less than 6. Now the<a>quotient</a>is 2, and after subtracting 4 from 6, the<a>remainder</a>is 2.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 37, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 37, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 4n, and we need to find the value of n such that 4n × n ≤ 237. Let us consider n as 5, now 45 × 5 = 225.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 4n, and we need to find the value of n such that 4n × n ≤ 237. Let us consider n as 5, now 45 × 5 = 225.</p>
6
<p><strong>Step 5:</strong>Subtract 225 from 237, and the difference is 12. The quotient is now 25.</p>
6
<p><strong>Step 5:</strong>Subtract 225 from 237, and the difference is 12. The quotient is now 25.</p>
7
<p><strong>Step 6:</strong>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 1200.</p>
7
<p><strong>Step 6:</strong>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 1200.</p>
8
<p><strong>Step 7:</strong>Now we need to find the new divisor which is 505 because 505 × 2 = 1010.</p>
8
<p><strong>Step 7:</strong>Now we need to find the new divisor which is 505 because 505 × 2 = 1010.</p>
9
<p><strong>Step 8:</strong>Subtracting 1010 from 1200, we get the result 190.</p>
9
<p><strong>Step 8:</strong>Subtracting 1010 from 1200, we get the result 190.</p>
10
<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there is no decimal value; continue till the remainder is zero.</p>
10
<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there is no decimal value; continue till the remainder is zero.</p>
11
<p>So the square root of √637 ≈ 25.24.</p>
11
<p>So the square root of √637 ≈ 25.24.</p>
12
12