1 added
95 removed
Original
2026-01-01
Modified
2026-02-21
1
-
<p>287 Learners</p>
2
-
<p>Last updated on<strong>August 5, 2025</strong></p>
3
-
<p>If a number is multiplied by the same number, the result is a square. The inverse of the square is a square root. The square root is used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 888.</p>
4
-
<h2>What is the Square Root of 888?</h2>
5
-
<p>The<a>square</a>root is the inverse of the square of a<a>number</a>. 888 is not a<a>perfect square</a>. The square root of 888 is expressed in both radical and exponential forms. In radical form, it is expressed as √888, whereas (888)^(1/2) in<a>exponential form</a>. √888 ≈ 29.7993, which is an<a>irrational number</a>because it cannot be expressed in the form of p/q, where p and q are<a>integers</a>and q ≠ 0.</p>
6
-
<h2>Finding the Square Root of 888</h2>
7
-
<p>The<a>prime factorization</a>method is used for perfect square numbers. However, for non-perfect square numbers like 888, the long-<a>division</a>method and approximation method are used. Let us now learn the following methods:</p>
8
-
<ul><li>Prime factorization method</li>
9
-
<li>Long division method</li>
10
-
<li>Approximation method</li>
11
-
</ul><h2>Square Root of 888 by Prime Factorization Method</h2>
12
-
<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 888 is broken down into its prime factors.</p>
13
-
<p><strong>Step 1:</strong>Finding the prime factors of 888 Breaking it down, we get 2 x 2 x 2 x 3 x 37: 2^3 x 3 x 37</p>
14
-
<p><strong>Step 2:</strong>Now we found the prime factors of 888. The second step is to make pairs of those prime factors. Since 888 is not a perfect square, the digits of the number can’t be grouped in pairs.</p>
15
-
<p>Therefore, calculating √888 using prime factorization is impossible.</p>
16
-
<h3>Explore Our Programs</h3>
17
-
<p>No Courses Available</p>
18
-
<h2>Square Root of 888 by Long Division Method</h2>
19
<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>
1
<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>
20
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 888, we need to group it as 88 and 8.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 888, we need to group it as 88 and 8.</p>
21
<p><strong>Step 2:</strong>Now we need to find a number 'n' whose square is 8 or less. We can say n is ‘2’ because 2 x 2 = 4, which is<a>less than</a>8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
3
<p><strong>Step 2:</strong>Now we need to find a number 'n' whose square is 8 or less. We can say n is ‘2’ because 2 x 2 = 4, which is<a>less than</a>8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
22
<p><strong>Step 3:</strong>Now let us bring down 88, which is the new<a>dividend</a>. 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>Now let us bring down 88, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
23
<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor, and we need to find the value of n.</p>
5
<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor, and we need to find the value of n.</p>
24
<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 488. Let's consider n as 7; now 4 x 7 x 7 = 196.</p>
6
<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 488. Let's consider n as 7; now 4 x 7 x 7 = 196.</p>
25
<p><strong>Step 6:</strong>Subtract 196 from 488; the difference is 292, and the quotient is 27.</p>
7
<p><strong>Step 6:</strong>Subtract 196 from 488; the difference is 292, and the quotient is 27.</p>
26
<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 two zeroes to the dividend. Now the new dividend is 29200.</p>
8
<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 two zeroes to the dividend. Now the new dividend is 29200.</p>
27
<p><strong>Step 8:</strong>Now we need to find the new divisor that is 279 because 2799 x 9 = 25191.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor that is 279 because 2799 x 9 = 25191.</p>
28
<p><strong>Step 9:</strong>Subtracting 25191 from 29200, we get the result 4009.</p>
10
<p><strong>Step 9:</strong>Subtracting 25191 from 29200, we get the result 4009.</p>
29
<p><strong>Step 10:</strong>Now the quotient is 29.7.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 29.7.</p>
30
<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.</p>
12
<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.</p>
31
<p>So the square root of √888 is approximately 29.79.</p>
13
<p>So the square root of √888 is approximately 29.79.</p>
32
-
<h2>Square Root of 888 by Approximation Method</h2>
14
+
33
-
<p>The approximation method is another method for finding square roots. It is an easy method to find the square root of a given number. Now let us learn how to find the square root of 888 using the approximation method.</p>
34
-
<p><strong>Step 1:</strong>Now we have to find the closest perfect square to √888.</p>
35
-
<p>The smallest perfect square less than 888 is 841, and the largest perfect square<a>greater than</a>888 is 900.</p>
36
-
<p>√888 falls somewhere between 29 and 30.</p>
37
-
<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>:</p>
38
-
<p>(Given number - smallest perfect square) / (Greater perfect square - smallest perfect square).</p>
39
-
<p>Using the formula, (888 - 841) ÷ (900 - 841) = 47 ÷ 59 ≈ 0.7966.</p>
40
-
<p>Adding this to the smaller perfect square root: 29 + 0.7966 = 29.7966, so the square root of 888 is approximately 29.80.</p>
41
-
<h2>Common Mistakes and How to Avoid Them in the Square Root of 888</h2>
42
-
<p>Students often make mistakes while finding square roots, like forgetting about the negative square root or skipping steps in methods like long division. Now let us look at a few mistakes in detail that students tend to make.</p>
43
-
<h3>Problem 1</h3>
44
-
<p>Can you help Max find the area of a square box if its side length is given as √888?</p>
45
-
<p>Okay, lets begin</p>
46
-
<p>The area of the square is approximately 888 square units.</p>
47
-
<h3>Explanation</h3>
48
-
<p>The area of the square = side^2.</p>
49
-
<p>The side length is given as √888.</p>
50
-
<p>Area of the square = side^2 = √888 x √888 = 888.</p>
51
-
<p>Therefore, the area of the square box is approximately 888 square units.</p>
52
-
<p>Well explained 👍</p>
53
-
<h3>Problem 2</h3>
54
-
<p>A square-shaped building measuring 888 square feet is built; if each of the sides is √888, what will be the square feet of half of the building?</p>
55
-
<p>Okay, lets begin</p>
56
-
<p>444 square feet</p>
57
-
<h3>Explanation</h3>
58
-
<p>We can divide the given area by 2 as the building is square-shaped.</p>
59
-
<p>Dividing 888 by 2, we get 444. So half of the building measures 444 square feet.</p>
60
-
<p>Well explained 👍</p>
61
-
<h3>Problem 3</h3>
62
-
<p>Calculate √888 x 5.</p>
63
-
<p>Okay, lets begin</p>
64
-
<p>148.9965</p>
65
-
<h3>Explanation</h3>
66
-
<p>The first step is to find the square root of 888, which is approximately 29.7993.</p>
67
-
<p>The second step is to multiply 29.7993 by 5.</p>
68
-
<p>So 29.7993 x 5 ≈ 148.9965.</p>
69
-
<p>Well explained 👍</p>
70
-
<h3>Problem 4</h3>
71
-
<p>What will be the square root of (888 + 12)?</p>
72
-
<p>Okay, lets begin</p>
73
-
<p>The square root is 30.</p>
74
-
<h3>Explanation</h3>
75
-
<p>To find the square root, we need to find the sum of (888 + 12). 888 + 12 = 900, and then √900 = 30.</p>
76
-
<p>Therefore, the square root of (888 + 12) is ±30.</p>
77
-
<p>Well explained 👍</p>
78
-
<h3>Problem 5</h3>
79
-
<p>Find the perimeter of the rectangle if its length ‘l’ is √888 units and the width ‘w’ is 38 units.</p>
80
-
<p>Okay, lets begin</p>
81
-
<p>The perimeter of the rectangle is approximately 135.5986 units.</p>
82
-
<h3>Explanation</h3>
83
-
<p>Perimeter of the rectangle = 2 × (length + width).</p>
84
-
<p>Perimeter = 2 × (√888 + 38) = 2 × (29.7993 + 38) = 2 × 67.7993 ≈ 135.5986 units.</p>
85
-
<p>Well explained 👍</p>
86
-
<h2>FAQ on Square Root of 888</h2>
87
-
<h3>1.What is √888 in its simplest form?</h3>
88
-
<p>The prime factorization of 888 is 2 x 2 x 2 x 3 x 37, so the simplest form of √888 = √(2 x 2 x 2 x 3 x 37).</p>
89
-
<h3>2.Mention the factors of 888.</h3>
90
-
<p>Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888.</p>
91
-
<h3>3.Calculate the square of 888.</h3>
92
-
<p>We get the square of 888 by multiplying the number by itself, which is 888 x 888 = 788,544.</p>
93
-
<h3>4.Is 888 a prime number?</h3>
94
-
<h3>5.888 is divisible by?</h3>
95
-
<p>888 has many factors; those are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888.</p>
96
-
<h2>Important Glossaries for the Square Root of 888</h2>
97
-
<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4^2 = 16, and the inverse of the square is the square root, which is √16 = 4. </li>
98
-
<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written in the form of p/q, where q is not zero and p and q are integers. </li>
99
-
<li><strong>Principal square root:</strong>A number has both positive and negative square roots, but it is usually the positive square root that is used in real-world applications. This is known as the principal square root. </li>
100
-
<li><strong>Prime factorization:</strong>Prime factorization involves breaking down a number into its prime number components. For example, the prime factorization of 888 is 2^3 x 3 x 37. </li>
101
-
<li><strong>Decimal:</strong>A decimal is a number with a whole number and a fractional part, represented by digits after a decimal point. For example: 7.86, 8.65, and 9.42 are decimals.</li>
102
-
</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
103
-
<p>▶</p>
104
-
<h2>Jaskaran Singh Saluja</h2>
105
-
<h3>About the Author</h3>
106
-
<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
107
-
<h3>Fun Fact</h3>
108
-
<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>