0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>The long<a>division</a>method is particularly useful 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>
1
<p>The long<a>division</a>method is particularly useful 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>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 604, we group it as 04 and 6.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 604, we group it as 04 and 6.</p>
3
<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 6. We can select n as 2 because 2 x 2 = 4, which is less than 6. The<a>quotient</a>is 2, and the<a>remainder</a>is 6 - 4 = 2.</p>
3
<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 6. We can select n as 2 because 2 x 2 = 4, which is less than 6. The<a>quotient</a>is 2, and the<a>remainder</a>is 6 - 4 = 2.</p>
4
<p><strong>Step 3:</strong>Bring down the next pair, which is 04. Now the new<a>dividend</a>is 204. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Bring down the next pair, which is 04. Now the new<a>dividend</a>is 204. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find n such that 4n x n ≤ 204. Let's consider n as 5; then, 45 x 5 = 225, which is greater than 204. So, we try n as 4; then, 44 x 4 = 176.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find n such that 4n x n ≤ 204. Let's consider n as 5; then, 45 x 5 = 225, which is greater than 204. So, we try n as 4; then, 44 x 4 = 176.</p>
6
<p><strong>Step 5:</strong>Subtract 176 from 204. The difference is 28, and the quotient is 24.</p>
6
<p><strong>Step 5:</strong>Subtract 176 from 204. The difference is 28, and the quotient is 24.</p>
7
<p><strong>Step 6:</strong>Since the dividend is less than the divisor, add a decimal point. Add two zeroes to the dividend, making it 2800.</p>
7
<p><strong>Step 6:</strong>Since the dividend is less than the divisor, add a decimal point. Add two zeroes to the dividend, making it 2800.</p>
8
<p><strong>Step 7:</strong>Find the new divisor: 488 x 6 = 2928, which is more than 2800. Try 487 x 5 = 2435.</p>
8
<p><strong>Step 7:</strong>Find the new divisor: 488 x 6 = 2928, which is more than 2800. Try 487 x 5 = 2435.</p>
9
<p><strong>Step 8:</strong>Subtract 2435 from 2800, getting 365. Bring down two more zeroes, making it 36500.</p>
9
<p><strong>Step 8:</strong>Subtract 2435 from 2800, getting 365. Bring down two more zeroes, making it 36500.</p>
10
<p><strong>Step 9:</strong>Continue doing these steps until we get the desired number of decimal places. So, √604 is approximately 24.576.</p>
10
<p><strong>Step 9:</strong>Continue doing these steps until we get the desired number of decimal places. So, √604 is approximately 24.576.</p>
11
11