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<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 3500, we need to group it as 00 and 35.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 3500, we need to group it as 00 and 35.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 35. We can say n as ‘5’ because \(5 \times 5 = 25\) is lesser than or equal to 35. Now the<a>quotient</a>is 5, and after subtracting 25 from 35, the<a>remainder</a>is 10.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 35. We can say n as ‘5’ because \(5 \times 5 = 25\) is lesser than or equal to 35. Now the<a>quotient</a>is 5, and after subtracting 25 from 35, the<a>remainder</a>is 10.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 00, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 5 + 5 we get 10, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 00, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 5 + 5 we get 10, which will be our new divisor.</p>
5
<p><strong>Step 4:</strong>The new divisor will be of the form 10n. Now we get 10n as the new divisor, we need to find the value of n.</p>
5
<p><strong>Step 4:</strong>The new divisor will be of the form 10n. Now we get 10n as the new divisor, we need to find the value of n.</p>
6
<p><strong>Step 5:</strong>The next step is finding \(10n \times n \leq 1000\). Let us consider n as 9, now \(109 \times 9 = 981\).</p>
6
<p><strong>Step 5:</strong>The next step is finding \(10n \times n \leq 1000\). Let us consider n as 9, now \(109 \times 9 = 981\).</p>
7
<p><strong>Step 6:</strong>Subtract 981 from 1000, the difference is 19, and the quotient is 59.</p>
7
<p><strong>Step 6:</strong>Subtract 981 from 1000, the difference is 19, and the quotient is 59.</p>
8
<p><strong>Step 7:</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 1900.</p>
8
<p><strong>Step 7:</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 1900.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 591 because \(591 \times 3 = 1773\).</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 591 because \(591 \times 3 = 1773\).</p>
10
<p><strong>Step 9:</strong>Subtracting 1773 from 1900, we get the result 127.</p>
10
<p><strong>Step 9:</strong>Subtracting 1773 from 1900, we get the result 127.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 59.3.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 59.3.</p>
12
<p><strong>Step 11:</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. So the square root of √3500 is approximately 59.16.</p>
12
<p><strong>Step 11:</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. So the square root of √3500 is approximately 59.16.</p>
13
13