0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>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 square root using the long division method, step by step.</p>
1
<p>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 square root 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 370, we need to group it as 70 and 3.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 370, we need to group it as 70 and 3.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is 3. We can say n as ‘1’ because 1 × 1 is lesser than or equal to 3. Now the<a>quotient</a>is 1 after subtracting 1 × 1 from 3, the<a>remainder</a>is 2.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is 3. We can say n as ‘1’ because 1 × 1 is lesser than or equal to 3. Now the<a>quotient</a>is 1 after subtracting 1 × 1 from 3, the<a>remainder</a>is 2.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 70, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1, we get 2, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 70, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1, we get 2, which will be our new divisor.</p>
5
<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 2n as the new divisor, we need to find the value of n.</p>
5
<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 2n as the new divisor, we need to find the value of n.</p>
6
<p><strong>Step 5:</strong>The next step is finding 2n × n ≤ 270. Let us consider n as 9, now 29 × 9 = 261.</p>
6
<p><strong>Step 5:</strong>The next step is finding 2n × n ≤ 270. Let us consider n as 9, now 29 × 9 = 261.</p>
7
<p><strong>Step 6:</strong>Subtract 261 from 270, the difference is 9, and the quotient is 19.</p>
7
<p><strong>Step 6:</strong>Subtract 261 from 270, the difference is 9, and the quotient is 19.</p>
8
<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 900.</p>
8
<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 900.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor that is 193 because 1930 × 4 = 7720.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor that is 193 because 1930 × 4 = 7720.</p>
10
<p><strong>Step 9:</strong>Subtracting 7720 from 9000, we get the result 1280.</p>
10
<p><strong>Step 9:</strong>Subtracting 7720 from 9000, we get the result 1280.</p>
11
<p><strong>Step 10:</strong>Now, the quotient is 19.23.</p>
11
<p><strong>Step 10:</strong>Now, the quotient is 19.23.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
13
<p>So the square root of √370 is approximately 19.23.</p>
13
<p>So the square root of √370 is approximately 19.23.</p>
14
14