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 2080, we need to group it as 80 and 20.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 2080, we need to group it as 80 and 20.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 20. We can say n is ‘4’ because 4 x 4 = 16, which is less than 20. Now the<a>quotient</a>is 4 after subtracting 16 from 20, the<a>remainder</a>is 4.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 20. We can say n is ‘4’ because 4 x 4 = 16, which is less than 20. Now the<a>quotient</a>is 4 after subtracting 16 from 20, the<a>remainder</a>is 4.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 80 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.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 80 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.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n where 8n x n is less than or equal to 480.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n where 8n x n is less than or equal to 480.</p>
6
<p><strong>Step 5:</strong>The next step is finding 8n x n ≤ 480. Let us consider n as 5, now 85 x 5 = 425.</p>
6
<p><strong>Step 5:</strong>The next step is finding 8n x n ≤ 480. Let us consider n as 5, now 85 x 5 = 425.</p>
7
<p><strong>Step 6:</strong>Subtract 425 from 480, the difference is 55, and the quotient is 45.</p>
7
<p><strong>Step 6:</strong>Subtract 425 from 480, the difference is 55, and the quotient is 45.</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 5500.</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 5500.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor that is 912 because 912 x 6 = 5472.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor that is 912 because 912 x 6 = 5472.</p>
10
<p><strong>Step 9:</strong>Subtracting 5472 from 5500, we get the result 28.</p>
10
<p><strong>Step 9:</strong>Subtracting 5472 from 5500, we get the result 28.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 45.6.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 45.6.</p>
12
<p><strong>Step 11:</strong>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.</p>
12
<p><strong>Step 11:</strong>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.</p>
13
<p>So the square root of √2080 is approximately 45.61.</p>
13
<p>So the square root of √2080 is approximately 45.61.</p>
14
14