1 added
2 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>367 Learners</p>
1
+
<p>432 Learners</p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
2
<p>Last updated on<strong>August 5, 2025</strong></p>
3
<p>If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in fields such as vehicle design, finance, etc. Here, we will discuss the square root of 2.4.</p>
3
<p>If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in fields such as vehicle design, finance, etc. Here, we will discuss the square root of 2.4.</p>
4
<h2>What is the Square Root of 2.4?</h2>
4
<h2>What is the Square Root of 2.4?</h2>
5
<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 2.4 is not a<a>perfect square</a>. The square root of 2.4 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √2.4, whereas (2.4)^(1/2) in the exponential form. √2.4 ≈ 1.54919, 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>
5
<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 2.4 is not a<a>perfect square</a>. The square root of 2.4 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √2.4, whereas (2.4)^(1/2) in the exponential form. √2.4 ≈ 1.54919, 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 2.4</h2>
6
<h2>Finding the Square Root of 2.4</h2>
7
<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the<a>long division</a>method and approximation method are used. Let us now learn the following methods:</p>
7
<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the<a>long division</a>method and approximation method are used. Let us now learn the following methods:</p>
8
<ul><li>Prime factorization method</li>
8
<ul><li>Prime factorization method</li>
9
<li>Long division method</li>
9
<li>Long division method</li>
10
<li>Approximation method</li>
10
<li>Approximation method</li>
11
</ul><h2>Square Root of 2.4 by Prime Factorization Method</h2>
11
</ul><h2>Square Root of 2.4 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 2.4 is broken down into its prime factors.</p>
12
<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 2.4 is broken down into its prime factors.</p>
13
<p><strong>Step 1:</strong>Multiply 2.4 by 10 to get a<a>whole number</a>, resulting in 24.</p>
13
<p><strong>Step 1:</strong>Multiply 2.4 by 10 to get a<a>whole number</a>, resulting in 24.</p>
14
<p><strong>Step 2:</strong>Finding the prime factors of 24. Breaking it down, we get 2 x 2 x 2 x 3: 2^3 x 3^1</p>
14
<p><strong>Step 2:</strong>Finding the prime factors of 24. Breaking it down, we get 2 x 2 x 2 x 3: 2^3 x 3^1</p>
15
<p><strong>Step 3:</strong>Now, take the<a>square root</a>of 24 and divide it by the square root of 10 to get the square root of 2.4.</p>
15
<p><strong>Step 3:</strong>Now, take the<a>square root</a>of 24 and divide it by the square root of 10 to get the square root of 2.4.</p>
16
<p><strong>Step 4:</strong>Since 24 is not a perfect square, the digits cannot be grouped in pairs.</p>
16
<p><strong>Step 4:</strong>Since 24 is not a perfect square, the digits cannot be grouped in pairs.</p>
17
<p>Therefore, calculating 2.4 using prime factorization directly is not straightforward.</p>
17
<p>Therefore, calculating 2.4 using prime factorization directly is not straightforward.</p>
18
<h3>Explore Our Programs</h3>
18
<h3>Explore Our Programs</h3>
19
-
<p>No Courses Available</p>
20
<h2>Square Root of 2.4 by Long Division Method</h2>
19
<h2>Square Root of 2.4 by Long Division Method</h2>
21
<p>The long<a>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 square root using the long division method, step by step.</p>
20
<p>The long<a>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 square root using the long division method, step by step.</p>
22
<p><strong>Step 1:</strong>To begin with, we need to multiply 2.4 by 100 to work with whole numbers, resulting in 240.</p>
21
<p><strong>Step 1:</strong>To begin with, we need to multiply 2.4 by 100 to work with whole numbers, resulting in 240.</p>
23
<p><strong>Step 2:</strong>Group the numbers from right to left. In the case of 240, we need to group it as 40 and 2.</p>
22
<p><strong>Step 2:</strong>Group the numbers from right to left. In the case of 240, we need to group it as 40 and 2.</p>
24
<p><strong>Step 3:</strong>Find n whose square is<a>less than</a>or equal to 2. We can say n is '1' because 1 x 1 is less than or equal to 2. The<a>quotient</a>is 1, and the<a>remainder</a>is 1.</p>
23
<p><strong>Step 3:</strong>Find n whose square is<a>less than</a>or equal to 2. We can say n is '1' because 1 x 1 is less than or equal to 2. The<a>quotient</a>is 1, and the<a>remainder</a>is 1.</p>
25
<p><strong>Step 4:</strong>Bring down the next group which is 40, making the new<a>dividend</a>140. Double the previous quotient (1), which gives us 2 as the new<a>divisor</a>.</p>
24
<p><strong>Step 4:</strong>Bring down the next group which is 40, making the new<a>dividend</a>140. Double the previous quotient (1), which gives us 2 as the new<a>divisor</a>.</p>
26
<p><strong>Step 5:</strong>Find a digit, say 'm', such that 2m x m is less than or equal to 140. Here, m is 5 because 25 x 5 = 125.</p>
25
<p><strong>Step 5:</strong>Find a digit, say 'm', such that 2m x m is less than or equal to 140. Here, m is 5 because 25 x 5 = 125.</p>
27
<p><strong>Step 6:</strong>Subtract 125 from 140; the difference is 15. Bring down two zeros to get 1500.</p>
26
<p><strong>Step 6:</strong>Subtract 125 from 140; the difference is 15. Bring down two zeros to get 1500.</p>
28
<p><strong>Step 7:</strong>The new divisor is 30 (2 * 5) plus the next digit from the quotient. Continue these steps until you achieve the desired precision.</p>
27
<p><strong>Step 7:</strong>The new divisor is 30 (2 * 5) plus the next digit from the quotient. Continue these steps until you achieve the desired precision.</p>
29
<p>Thus, the square root of 2.4 is approximately 1.549.</p>
28
<p>Thus, the square root of 2.4 is approximately 1.549.</p>
30
<h2>Square Root of 2.4 by Approximation Method</h2>
29
<h2>Square Root of 2.4 by Approximation Method</h2>
31
<p>The approximation method is another method for finding the 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 2.4 using the approximation method.</p>
30
<p>The approximation method is another method for finding the 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 2.4 using the approximation method.</p>
32
<p><strong>Step 1:</strong>Find the closest perfect squares around 2.4. The smallest perfect square is 1 (√1 = 1) and the largest perfect square is 4 (√4 = 2). Thus, √2.4 falls between 1 and 2.</p>
31
<p><strong>Step 1:</strong>Find the closest perfect squares around 2.4. The smallest perfect square is 1 (√1 = 1) and the largest perfect square is 4 (√4 = 2). Thus, √2.4 falls between 1 and 2.</p>
33
<p><strong>Step 2:</strong>Now, apply the<a>formula</a>: (Given number - smallest perfect square) / (greater perfect square - smallest perfect square) (2.4 - 1) / (4 - 1) = 1.4 / 3 ≈ 0.467</p>
32
<p><strong>Step 2:</strong>Now, apply the<a>formula</a>: (Given number - smallest perfect square) / (greater perfect square - smallest perfect square) (2.4 - 1) / (4 - 1) = 1.4 / 3 ≈ 0.467</p>
34
<p><strong>Step 3:</strong>Add this value to the square root of the smaller perfect square: 1 + 0.467 = 1.467 Thus, the square root of 2.4 is approximately 1.549 when calculated more precisely.</p>
33
<p><strong>Step 3:</strong>Add this value to the square root of the smaller perfect square: 1 + 0.467 = 1.467 Thus, the square root of 2.4 is approximately 1.549 when calculated more precisely.</p>
35
<h2>Common Mistakes and How to Avoid Them in the Square Root of 2.4</h2>
34
<h2>Common Mistakes and How to Avoid Them in the Square Root of 2.4</h2>
36
<p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>
35
<p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>
37
<h3>Problem 1</h3>
36
<h3>Problem 1</h3>
38
<p>Can you help Max find the area of a square box if its side length is given as √2.4?</p>
37
<p>Can you help Max find the area of a square box if its side length is given as √2.4?</p>
39
<p>Okay, lets begin</p>
38
<p>Okay, lets begin</p>
40
<p>The area of the square is approximately 2.4 square units.</p>
39
<p>The area of the square is approximately 2.4 square units.</p>
41
<h3>Explanation</h3>
40
<h3>Explanation</h3>
42
<p>The area of the square = side².</p>
41
<p>The area of the square = side².</p>
43
<p>The side length is given as √2.4.</p>
42
<p>The side length is given as √2.4.</p>
44
<p>Area of the square = (√2.4)² = 2.4.</p>
43
<p>Area of the square = (√2.4)² = 2.4.</p>
45
<p>Therefore, the area of the square box is approximately 2.4 square units.</p>
44
<p>Therefore, the area of the square box is approximately 2.4 square units.</p>
46
<p>Well explained 👍</p>
45
<p>Well explained 👍</p>
47
<h3>Problem 2</h3>
46
<h3>Problem 2</h3>
48
<p>A square-shaped building measuring 2.4 square feet is built; if each of the sides is √2.4, what will be the square feet of half of the building?</p>
47
<p>A square-shaped building measuring 2.4 square feet is built; if each of the sides is √2.4, what will be the square feet of half of the building?</p>
49
<p>Okay, lets begin</p>
48
<p>Okay, lets begin</p>
50
<p>1.2 square feet</p>
49
<p>1.2 square feet</p>
51
<h3>Explanation</h3>
50
<h3>Explanation</h3>
52
<p>We can just divide the given area by 2 as the building is square-shaped.</p>
51
<p>We can just divide the given area by 2 as the building is square-shaped.</p>
53
<p>Dividing 2.4 by 2 = we get 1.2.</p>
52
<p>Dividing 2.4 by 2 = we get 1.2.</p>
54
<p>So half of the building measures 1.2 square feet.</p>
53
<p>So half of the building measures 1.2 square feet.</p>
55
<p>Well explained 👍</p>
54
<p>Well explained 👍</p>
56
<h3>Problem 3</h3>
55
<h3>Problem 3</h3>
57
<p>Calculate √2.4 x 5.</p>
56
<p>Calculate √2.4 x 5.</p>
58
<p>Okay, lets begin</p>
57
<p>Okay, lets begin</p>
59
<p>Approximately 7.74595</p>
58
<p>Approximately 7.74595</p>
60
<h3>Explanation</h3>
59
<h3>Explanation</h3>
61
<p>The first step is to find the square root of 2.4, which is approximately 1.54919.</p>
60
<p>The first step is to find the square root of 2.4, which is approximately 1.54919.</p>
62
<p>The second step is to multiply 1.54919 by 5.</p>
61
<p>The second step is to multiply 1.54919 by 5.</p>
63
<p>So 1.54919 x 5 ≈ 7.74595.</p>
62
<p>So 1.54919 x 5 ≈ 7.74595.</p>
64
<p>Well explained 👍</p>
63
<p>Well explained 👍</p>
65
<h3>Problem 4</h3>
64
<h3>Problem 4</h3>
66
<p>What will be the square root of (2.4 + 0.6)?</p>
65
<p>What will be the square root of (2.4 + 0.6)?</p>
67
<p>Okay, lets begin</p>
66
<p>Okay, lets begin</p>
68
<p>The square root is approximately 1.73205.</p>
67
<p>The square root is approximately 1.73205.</p>
69
<h3>Explanation</h3>
68
<h3>Explanation</h3>
70
<p>To find the square root, we need to find the sum of (2.4 + 0.6). 2.4 + 0.6 = 3, and then √3 ≈ 1.73205.</p>
69
<p>To find the square root, we need to find the sum of (2.4 + 0.6). 2.4 + 0.6 = 3, and then √3 ≈ 1.73205.</p>
71
<p>Therefore, the square root of (2.4 + 0.6) is approximately ±1.73205.</p>
70
<p>Therefore, the square root of (2.4 + 0.6) is approximately ±1.73205.</p>
72
<p>Well explained 👍</p>
71
<p>Well explained 👍</p>
73
<h3>Problem 5</h3>
72
<h3>Problem 5</h3>
74
<p>Find the perimeter of a rectangle if its length 'l' is √2.4 units and the width 'w' is 3.8 units.</p>
73
<p>Find the perimeter of a rectangle if its length 'l' is √2.4 units and the width 'w' is 3.8 units.</p>
75
<p>Okay, lets begin</p>
74
<p>Okay, lets begin</p>
76
<p>We find the perimeter of the rectangle as approximately 10.69838 units.</p>
75
<p>We find the perimeter of the rectangle as approximately 10.69838 units.</p>
77
<h3>Explanation</h3>
76
<h3>Explanation</h3>
78
<p>Perimeter of the rectangle = 2 × (length + width)</p>
77
<p>Perimeter of the rectangle = 2 × (length + width)</p>
79
<p>Perimeter = 2 × (√2.4 + 3.8)</p>
78
<p>Perimeter = 2 × (√2.4 + 3.8)</p>
80
<p>≈ 2 × (1.54919 + 3.8)</p>
79
<p>≈ 2 × (1.54919 + 3.8)</p>
81
<p>≈ 2 × 5.34919</p>
80
<p>≈ 2 × 5.34919</p>
82
<p>≈ 10.69838 units.</p>
81
<p>≈ 10.69838 units.</p>
83
<p>Well explained 👍</p>
82
<p>Well explained 👍</p>
84
<h2>FAQ on Square Root of 2.4</h2>
83
<h2>FAQ on Square Root of 2.4</h2>
85
<h3>1.What is √2.4 in its simplest form?</h3>
84
<h3>1.What is √2.4 in its simplest form?</h3>
86
<p>The simplest form of √2.4 is expressed in<a>decimal</a>form as approximately 1.54919, as it cannot be simplified further using radical form.</p>
85
<p>The simplest form of √2.4 is expressed in<a>decimal</a>form as approximately 1.54919, as it cannot be simplified further using radical form.</p>
87
<h3>2.Mention the factors of 2.4.</h3>
86
<h3>2.Mention the factors of 2.4.</h3>
88
<p>Factors of 2.4 in<a>terms</a>of whole numbers are 1, 2, 3, 4, 6, and 12 when considering 24 as it relates to 2.4 (by multiplying by 10).</p>
87
<p>Factors of 2.4 in<a>terms</a>of whole numbers are 1, 2, 3, 4, 6, and 12 when considering 24 as it relates to 2.4 (by multiplying by 10).</p>
89
<h3>3.Calculate the square of 2.4.</h3>
88
<h3>3.Calculate the square of 2.4.</h3>
90
<p>We get the square of 2.4 by multiplying the number by itself, that is 2.4 x 2.4 = 5.76.</p>
89
<p>We get the square of 2.4 by multiplying the number by itself, that is 2.4 x 2.4 = 5.76.</p>
91
<h3>4.Is 2.4 a prime number?</h3>
90
<h3>4.Is 2.4 a prime number?</h3>
92
<p>2.4 is not a<a>prime number</a>, as it is not a whole number and has more than two factors when considered as 24.</p>
91
<p>2.4 is not a<a>prime number</a>, as it is not a whole number and has more than two factors when considered as 24.</p>
93
<h3>5.Is 2.4 divisible by?</h3>
92
<h3>5.Is 2.4 divisible by?</h3>
94
<p>2.4 is divisible by 1.2, 0.8, 0.6, and 0.4 when considering decimal divisors.</p>
93
<p>2.4 is divisible by 1.2, 0.8, 0.6, and 0.4 when considering decimal divisors.</p>
95
<h2>Important Glossaries for the Square Root of 2.4</h2>
94
<h2>Important Glossaries for the Square Root of 2.4</h2>
96
<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, that is, √16 = 4. </li>
95
<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, that is, √16 = 4. </li>
97
<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 equal to zero and p and q are integers. </li>
96
<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 equal to zero and p and q are integers. </li>
98
<li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals. </li>
97
<li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals. </li>
99
<li><strong>Long division method:</strong>A mathematical method used to find the square root of non-perfect squares through a series of steps involving division and averaging. </li>
98
<li><strong>Long division method:</strong>A mathematical method used to find the square root of non-perfect squares through a series of steps involving division and averaging. </li>
100
<li><strong>Approximation method:</strong>A technique used to find an approximate value of a square root by identifying nearby perfect squares and interpolating between them.</li>
99
<li><strong>Approximation method:</strong>A technique used to find an approximate value of a square root by identifying nearby perfect squares and interpolating between them.</li>
101
</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
100
</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
102
<p>▶</p>
101
<p>▶</p>
103
<h2>Jaskaran Singh Saluja</h2>
102
<h2>Jaskaran Singh Saluja</h2>
104
<h3>About the Author</h3>
103
<h3>About the Author</h3>
105
<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>
104
<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>
106
<h3>Fun Fact</h3>
105
<h3>Fun Fact</h3>
107
<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
106
<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>