0 added
0 removed
Original
2026-01-01
Modified
2026-02-21
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<a>square root</a>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<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 3.02, we need to consider it as 3.02.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 3.02, we need to consider it as 3.02.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 3. In this case, n is 1 because 1 × 1 is<a>less than</a>or equal to 3. Now the<a>quotient</a>is 1 after subtracting 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 closest to 3. In this case, n is 1 because 1 × 1 is<a>less than</a>or equal to 3. Now the<a>quotient</a>is 1 after subtracting 1 from 3, the<a>remainder</a>is 2.</p>
4
<p><strong>Step 3:</strong>Bring down the next number 02, making it 202. Add the old<a>divisor</a>with the same number 1 + 1 to get 2, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Bring down the next number 02, making it 202. Add the old<a>divisor</a>with the same number 1 + 1 to 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 such that 2n × n is less than or equal to 202.</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 such that 2n × n is less than or equal to 202.</p>
6
<p><strong>Step 5:</strong>The next step is finding 2n × n ≤ 202. Let us consider n as 7, now 2 × 7 × 7 = 196.</p>
6
<p><strong>Step 5:</strong>The next step is finding 2n × n ≤ 202. Let us consider n as 7, now 2 × 7 × 7 = 196.</p>
7
<p><strong>Step 6:</strong>Subtract 196 from 202, the difference is 6, and the quotient is 1.7.</p>
7
<p><strong>Step 6:</strong>Subtract 196 from 202, the difference is 6, and the quotient is 1.7.</p>
8
<p><strong>Step 7:</strong>Since we have only one decimal place, continue the process by bringing down two zeroes. Now the new dividend is 600.</p>
8
<p><strong>Step 7:</strong>Since we have only one decimal place, continue the process by bringing down two zeroes. Now the new dividend is 600.</p>
9
<p><strong>Step 8:</strong>Now, we need to find the new divisor. Using 34 as the new divisor, 34 × 8 = 272.</p>
9
<p><strong>Step 8:</strong>Now, we need to find the new divisor. Using 34 as the new divisor, 34 × 8 = 272.</p>
10
<p><strong>Step 9:</strong>Subtracting 272 from 600 we get the result 328.</p>
10
<p><strong>Step 9:</strong>Subtracting 272 from 600 we get the result 328.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 1.73.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 1.73.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get the desired number of decimal places or the remainder becomes zero.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get the desired number of decimal places or the remainder becomes zero.</p>
13
<p>So the square root of √3.02 is approximately 1.738.</p>
13
<p>So the square root of √3.02 is approximately 1.738.</p>
14
14