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Original
2026-01-01
Modified
2026-02-21
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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 1.42, we start with 1 and then 42.</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 1.42, we start with 1 and then 42.</p>
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<p><strong>Step 2:</strong>Now we need to find a number whose square is closest to 1. That number is 1, because 1 x 1 is equal to 1. Now the<a>quotient</a>is 1 after subtracting 1 - 1 the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Now we need to find a number whose square is closest to 1. That number is 1, because 1 x 1 is equal to 1. Now the<a>quotient</a>is 1 after subtracting 1 - 1 the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Bring down 42, the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 1 + 1 = 2, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 42, the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 1 + 1 = 2, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 2, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be 2, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 2n x n ≤ 42. Let us consider n as 1, now 2 x 1 x 1 = 2.</p>
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<p><strong>Step 5:</strong>The next step is finding 2n x n ≤ 42. Let us consider n as 1, now 2 x 1 x 1 = 2.</p>
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<p><strong>Step 6:</strong>Subtract 42 from 2, the difference is 40, and the quotient is 1.1.</p>
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<p><strong>Step 6:</strong>Subtract 42 from 2, the difference is 40, and the quotient is 1.1.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 4000.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 4000.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. We can use 21 because 211 x 1 = 211.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. We can use 21 because 211 x 1 = 211.</p>
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<p><strong>Step 9:</strong>Subtracting 211 from 4000 we get the result 1789. Step 10: Now the quotient is 1.19.</p>
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<p><strong>Step 9:</strong>Subtracting 211 from 4000 we get the result 1789. Step 10: Now the quotient is 1.19.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point or 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 or until the remainder is zero.</p>
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<p>So, the square root of √1.42 is approximately 1.191.</p>
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<p>So, the square root of √1.42 is approximately 1.191.</p>
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