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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 425, we need to group it as 25 and 4.</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 425, we need to group it as 25 and 4.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 4. We can say n is '2' because 2 x 2 = 4. Now the<a>quotient</a>is 2, and after subtracting, the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 4. We can say n is '2' because 2 x 2 = 4. Now the<a>quotient</a>is 2, and after subtracting, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2, we get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2, we get 4, 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 4n as the new divisor. 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 4n as the new divisor. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 25. Let us consider n as 5, now 4 x 5 x 5 = 100.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 25. Let us consider n as 5, now 4 x 5 x 5 = 100.</p>
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<p><strong>Step 6:</strong>Subtract 25 from 100, and the difference is -75, but since 100 exceeds, n needs to be less, so calculate again.</p>
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<p><strong>Step 6:</strong>Subtract 25 from 100, and the difference is -75, but since 100 exceeds, n needs to be less, so calculate again.</p>
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<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 2500.</p>
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<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 2500.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 41 because 415 x 5 = 2075.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 41 because 415 x 5 = 2075.</p>
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<p><strong>Step 9:</strong>Subtracting 2075 from 2500, we get the result 425.</p>
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<p><strong>Step 9:</strong>Subtracting 2075 from 2500, we get the result 425.</p>
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<p><strong>Step 10:</strong>Now the quotient is 20.5.</p>
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<p><strong>Step 10:</strong>Now the quotient is 20.5.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.</p>
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<p><strong>So the square root of √425 is approximately 20.6155.</strong></p>
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<p><strong>So the square root of √425 is approximately 20.6155.</strong></p>
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