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Original
2026-01-01
Modified
2026-02-28
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<p>The long division 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 square root using the long division method, step by step.</p>
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<p>The long division 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 square root 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 46.17, we need to group it as 46 and 17.</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 46.17, we need to group it as 46 and 17.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 4. We can say n as ‘2’ because 2 x 2 is<a>less than</a>or equal to 4. Now the<a>quotient</a>is 2, and after subtracting 4-4, 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 as ‘2’ because 2 x 2 is<a>less than</a>or equal to 4. Now the<a>quotient</a>is 2, and after subtracting 4-4, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 617 (from 46.17) 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 617 (from 46.17) 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 4n. We need to find an n such that 4n × n ≤ 617. Let's consider n as 6, so 46 x 6 = 276.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find an n such that 4n × n ≤ 617. Let's consider n as 6, so 46 x 6 = 276.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 617, the difference is 341, and the quotient is now 26.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 617, the difference is 341, and the quotient is now 26.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 34100.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 34100.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 539 because 539 x 6 = 3234.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 539 because 539 x 6 = 3234.</p>
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<p><strong>Step 8:</strong>Subtracting 3234 from 3410 gives us a remainder of 176.</p>
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<p><strong>Step 8:</strong>Subtracting 3234 from 3410 gives us a remainder of 176.</p>
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<p><strong>Step 9:</strong>Now the quotient is 6.79.</p>
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<p><strong>Step 9:</strong>Now the quotient is 6.79.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get the desired precision after the decimal point or until the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get the desired precision after the decimal point or until the remainder is zero.</p>
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<p>So the square root of √46.17 is approximately 6.794.</p>
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<p>So the square root of √46.17 is approximately 6.794.</p>
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