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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 18.33, we consider 18 as the integer part and .33 as the<a>decimal</a>part.</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 18.33, we consider 18 as the integer part and .33 as the<a>decimal</a>part.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 18. We can say n is ‘4’ because 4 x 4 = 16, which is less than 18. Now the<a>quotient</a>is 4, and the<a>remainder</a>is 2 after subtracting 16 from 18.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 18. We can say n is ‘4’ because 4 x 4 = 16, which is less than 18. Now the<a>quotient</a>is 4, and the<a>remainder</a>is 2 after subtracting 16 from 18.</p>
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<p><strong>Step 3:</strong>Now let us bring down .33, making it 233 as the new<a>dividend</a>. Add the old divisor with the same number 4 + 4, we get 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down .33, making it 233 as the new<a>dividend</a>. Add the old divisor with the same number 4 + 4, we get 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the old divisor and the quotient. Now we get 8n 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 sum of the old divisor and the quotient. Now we get 8n 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 8n x n ≤ 233. Let us consider n as 2, now 82 x 2 = 164. Step 6: Subtract 233 from 164; the difference is 69, and the quotient becomes 4.2.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n x n ≤ 233. Let us consider n as 2, now 82 x 2 = 164. Step 6: Subtract 233 from 164; the difference is 69, and the quotient becomes 4.2.</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 zeroes to the dividend. Now the new dividend is 6900.</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 zeroes to the dividend. Now the new dividend is 6900.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 84. When 842 x 8 = 6720.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 84. When 842 x 8 = 6720.</p>
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<p><strong>Step 9:</strong>Subtracting 6720 from 6900, we get the result 180.</p>
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<p><strong>Step 9:</strong>Subtracting 6720 from 6900, we get the result 180.</p>
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<p><strong>Step 10:</strong>Now the quotient is 4.28.</p>
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<p><strong>Step 10:</strong>Now the quotient is 4.28.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get the desired level of precision after the decimal point.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get the desired level of precision after the decimal point.</p>
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<p>So the square root of √18.33 is approximately 4.281.</p>
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<p>So the square root of √18.33 is approximately 4.281.</p>
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