0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>The long<a>division</a>method is useful for finding square roots of non-perfect square numbers. Here is how to find the<a>square root</a>of 4.8 using this method, step by step:</p>
1
<p>The long<a>division</a>method is useful for finding square roots of non-perfect square numbers. Here is how to find the<a>square root</a>of 4.8 using this method, step by step:</p>
2
<p><strong>Step 1:</strong>First, we need to group the numbers from right to left. Since 4.8 is a single-digit<a>decimal</a>, we consider 4.8 as 48 with a decimal point later.</p>
2
<p><strong>Step 1:</strong>First, we need to group the numbers from right to left. Since 4.8 is a single-digit<a>decimal</a>, we consider 4.8 as 48 with a decimal point later.</p>
3
<p><strong>Step 2:</strong>Find a number (n) whose square is<a>less than</a>or equal to 4. We choose n as 2 because 2^2 = 4.</p>
3
<p><strong>Step 2:</strong>Find a number (n) whose square is<a>less than</a>or equal to 4. We choose n as 2 because 2^2 = 4.</p>
4
<p><strong>Step 3:</strong>Subtract 4 from 4, resulting in 0. Bring down 80, making the new<a>dividend</a>80.</p>
4
<p><strong>Step 3:</strong>Subtract 4 from 4, resulting in 0. Bring down 80, making the new<a>dividend</a>80.</p>
5
<p><strong>Step 4:</strong>Double the current<a>quotient</a>(2) to get 4, which will be the start of the new<a>divisor</a>.</p>
5
<p><strong>Step 4:</strong>Double the current<a>quotient</a>(2) to get 4, which will be the start of the new<a>divisor</a>.</p>
6
<p><strong>Step 5:</strong>Find a digit (x) such that 4x * x is less than or equal to 80. Choose x as 2, because 42 * 2 = 84 is too large.</p>
6
<p><strong>Step 5:</strong>Find a digit (x) such that 4x * x is less than or equal to 80. Choose x as 2, because 42 * 2 = 84 is too large.</p>
7
<p><strong>Step 6:</strong>Use 41 * 1 = 41. Subtract 41 from 80, resulting in 39.</p>
7
<p><strong>Step 6:</strong>Use 41 * 1 = 41. Subtract 41 from 80, resulting in 39.</p>
8
<p><strong>Step 7:</strong>Since 39 is smaller than 41, we add a decimal point and bring down two zeroes, making the new dividend 3900.</p>
8
<p><strong>Step 7:</strong>Since 39 is smaller than 41, we add a decimal point and bring down two zeroes, making the new dividend 3900.</p>
9
<p><strong>Step 8:</strong>Double the current quotient (21) to get 42, which will be the first part of the new divisor.</p>
9
<p><strong>Step 8:</strong>Double the current quotient (21) to get 42, which will be the first part of the new divisor.</p>
10
<p><strong>Step 9:</strong>Find a digit (y) such that 42y * y is less than or equal to 3900. Choose y as 9, because 429 * 9 = 3861 is less than 3900.</p>
10
<p><strong>Step 9:</strong>Find a digit (y) such that 42y * y is less than or equal to 3900. Choose y as 9, because 429 * 9 = 3861 is less than 3900.</p>
11
<p><strong>Step 10:</strong>Subtract 3861 from 3900, resulting in 39. The quotient is 2.19.</p>
11
<p><strong>Step 10:</strong>Subtract 3861 from 3900, resulting in 39. The quotient is 2.19.</p>
12
<p>The approximate value of √4.8 is 2.19.</p>
12
<p>The approximate value of √4.8 is 2.19.</p>
13
13