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Original
2026-01-01
Modified
2026-02-28
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<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>
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<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>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 1550, we need to group it as 50 and 15.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 1550, we need to group it as 50 and 15.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 15. We can say n is ‘3’ because 3 x 3 is lesser than or equal to 15. Now the<a>quotient</a>is 3, and after subtracting 9 from 15, the<a>remainder</a>is 6.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 15. We can say n is ‘3’ because 3 x 3 is lesser than or equal to 15. Now the<a>quotient</a>is 3, and after subtracting 9 from 15, the<a>remainder</a>is 6.</p>
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<p><strong>Step 3:</strong>Now let us bring down 50, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 50, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 6n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 6n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n × n ≤ 650. Let's consider n as 9, so 69 x 9 = 621. Subtracting 621 from 650, the difference is 29, and the quotient is 39.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n × n ≤ 650. Let's consider n as 9, so 69 x 9 = 621. Subtracting 621 from 650, the difference is 29, and the quotient is 39.</p>
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<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 2900.</p>
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<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 2900.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 78 because 787 x 3 = 2361.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 78 because 787 x 3 = 2361.</p>
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<p><strong>Step 8:</strong>Subtracting 2361 from 2900, we get the result 539.</p>
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<p><strong>Step 8:</strong>Subtracting 2361 from 2900, we get the result 539.</p>
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<p><strong>Step 9:</strong>Now the quotient is 39.3.</p>
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<p><strong>Step 9:</strong>Now the quotient is 39.3.</p>
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<p><strong>Step 10:</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>
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<p><strong>Step 10:</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>
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<p>So the square root of √1550 is approximately 39.37.</p>
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<p>So the square root of √1550 is approximately 39.37.</p>
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