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2 <p>Last updated on<strong>December 15, 2025</strong></p>

3 <p>If a number is multiplied by itself, the result is a square. The inverse of a square is a square root. Square roots are used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 80/5.</p>

4 <h2>What is the Square Root of 80/5?</h2>

5 <p>The<a>square</a>root is the inverse of the square of a<a>number</a>. 80/5 simplifies to 16, which is a<a>perfect square</a>.</p>

6 <p>The square root of 80/5 is expressed in both radical and<a>exponential form</a>.</p>

7 <p>In radical form, it is expressed as √16, whereas (16)(1/2) in exponential form.</p>

8 <p>√16 = 4, which is a<a>rational number</a>because it can be expressed in the form of p/q, where p and q are<a>integers</a>and q ≠ 0.</p>

9 <h2>Finding the Square Root of 80/5</h2>

10 <p>The<a>prime factorization</a>method is used for perfect square numbers.</p>

11 <p>Since 16 is a perfect square, we can easily find its<a>square root</a>using the prime factorization method.</p>

12 <ul><li>Prime factorization method </li>

13 <li>Long<a>division</a>method </li>

14 <li>Approximation method</li>

15 </ul><h2>Square Root of 80/5 by Prime Factorization Method</h2>

16 <p>The prime factorization of a number is the<a>product</a>of its prime<a>factors</a>.</p>

17 <p>Now, let us look at how 16 is broken down into its prime factors.</p>

18 <p><strong>Step 1:</strong>Finding the prime factors of 16</p>

19 <p>Breaking it down, we get 2 x 2 x 2 x 2: 24</p>

20 <p><strong>Step 2:</strong>Now that we have found the prime factors of 16, we can pair these factors. Since 16 is a perfect square, the pairs of prime factors can be grouped together.</p>

21 <p><strong>Step 3:</strong>Take one factor from each pair: 2 x 2 = 4 Therefore, the square root of 16 is 4.</p>

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24 <h2>Square Root of 80/5 by Long Division Method</h2>

23 <h2>Square Root of 80/5 by Long Division Method</h2>

25 <p>The<a>long division</a>method is often used for non-perfect square numbers, but it can also be applied to perfect squares.</p>

24 <p>The<a>long division</a>method is often used for non-perfect square numbers, but it can also be applied to perfect squares.</p>

26 <p>Let us learn how to find the square root using the long division method, step by step.</p>

25 <p>Let us learn how to find the square root using the long division method, step by step.</p>

27 <p><strong>Step 1:</strong>Group the digits from right to left. In the case of 16, there is only one group: 16.</p>

26 <p><strong>Step 1:</strong>Group the digits from right to left. In the case of 16, there is only one group: 16.</p>

28 <p><strong>Step 2:</strong>Find a number whose square is<a>less than</a>or equal to 16. This number is 4 because 4 x 4 = 16.</p>

27 <p><strong>Step 2:</strong>Find a number whose square is<a>less than</a>or equal to 16. This number is 4 because 4 x 4 = 16.</p>

29 <p><strong>Step 3:</strong>Subtract 16 from 16; the<a>remainder</a>is 0. Since there are no more groups to bring down, we are done. The<a>quotient</a>is 4, so the square root of 16 is 4.</p>

28 <p><strong>Step 3:</strong>Subtract 16 from 16; the<a>remainder</a>is 0. Since there are no more groups to bring down, we are done. The<a>quotient</a>is 4, so the square root of 16 is 4.</p>

30 <h2>Square Root of 80/5 by Approximation Method</h2>

29 <h2>Square Root of 80/5 by Approximation Method</h2>

31 <p>The approximation method can be used to find square roots, though it is not necessary for perfect squares.</p>

30 <p>The approximation method can be used to find square roots, though it is not necessary for perfect squares.</p>

32 <p>Let's see how this would work for 16.</p>

31 <p>Let's see how this would work for 16.</p>

33 <p><strong>Step 1:</strong>Identify the closest perfect squares to 16, which are 9 and 25.</p>

32 <p><strong>Step 1:</strong>Identify the closest perfect squares to 16, which are 9 and 25.</p>

34 <p><strong>Step 2:</strong>Since 16 is itself a perfect square, no further approximation is needed. The square root of 16 is precisely 4.</p>

33 <p><strong>Step 2:</strong>Since 16 is itself a perfect square, no further approximation is needed. The square root of 16 is precisely 4.</p>

35 <h2>Common Mistakes and How to Avoid Them in the Square Root of 80/5</h2>

34 <h2>Common Mistakes and How to Avoid Them in the Square Root of 80/5</h2>

36 <p>Students can make mistakes while finding the square root, such as forgetting about negative square roots or misapplying methods.</p>

35 <p>Students can make mistakes while finding the square root, such as forgetting about negative square roots or misapplying methods.</p>

37 <p>Let's explore some mistakes students make and how to avoid them.</p>

36 <p>Let's explore some mistakes students make and how to avoid them.</p>

38 <h3>Problem 1</h3>

37 <h3>Problem 1</h3>

39 <p>Can you help Max find the area of a square box if its side length is given as √64/4?</p>

38 <p>Can you help Max find the area of a square box if its side length is given as √64/4?</p>

40 <p>Okay, lets begin</p>

39 <p>Okay, lets begin</p>

41 <p>The area of the square is 16 square units.</p>

40 <p>The area of the square is 16 square units.</p>

42 <h3>Explanation</h3>

41 <h3>Explanation</h3>

43 <p>The area of a square = side2. </p>

42 <p>The area of a square = side2. </p>

44 <p>The side length is given as √64/4.</p>

43 <p>The side length is given as √64/4.</p>

45 <p>Area = (√64/4)2 = (8/4)2 = 22 = 4</p>

44 <p>Area = (√64/4)2 = (8/4)2 = 22 = 4</p>

46 <p>Therefore, the area of the square box is 4 square units.</p>

45 <p>Therefore, the area of the square box is 4 square units.</p>

47 <p>Well explained 👍</p>

46 <p>Well explained 👍</p>

48 <h3>Problem 2</h3>

47 <h3>Problem 2</h3>

49 <p>A square-shaped building measuring 80 square feet is built; if each of the sides is √80/5, what will be the square feet of half of the building?</p>

48 <p>A square-shaped building measuring 80 square feet is built; if each of the sides is √80/5, what will be the square feet of half of the building?</p>

50 <p>Okay, lets begin</p>

49 <p>Okay, lets begin</p>

51 <p>40 square feet</p>

50 <p>40 square feet</p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>We can divide the given area by 2 since the building is square-shaped.</p>

52 <p>We can divide the given area by 2 since the building is square-shaped.</p>

54 <p>Dividing 80 by 2, we get 40.</p>

53 <p>Dividing 80 by 2, we get 40.</p>

55 <p>So half of the building measures 40 square feet.</p>

54 <p>So half of the building measures 40 square feet.</p>

56 <p>Well explained 👍</p>

55 <p>Well explained 👍</p>

57 <h3>Problem 3</h3>

56 <h3>Problem 3</h3>

58 <p>Calculate √80/5 x 5.</p>

57 <p>Calculate √80/5 x 5.</p>

59 <p>Okay, lets begin</p>

58 <p>Okay, lets begin</p>

60 <p>20</p>

59 <p>20</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p>First, find the square root of 80/5, which simplifies to √16 = 4.</p>

61 <p>First, find the square root of 80/5, which simplifies to √16 = 4.</p>

63 <p>Multiply 4 by 5.</p>

62 <p>Multiply 4 by 5.</p>

64 <p>So 4 x 5 = 20.</p>

63 <p>So 4 x 5 = 20.</p>

65 <p>Well explained 👍</p>

64 <p>Well explained 👍</p>

66 <h3>Problem 4</h3>

65 <h3>Problem 4</h3>

67 <p>What will be the square root of (80/5 + 9)?</p>

66 <p>What will be the square root of (80/5 + 9)?</p>

68 <p>Okay, lets begin</p>

67 <p>Okay, lets begin</p>

69 <p>The square root is 5.</p>

68 <p>The square root is 5.</p>

70 <h3>Explanation</h3>

69 <h3>Explanation</h3>

71 <p>To find the square root, we first find the sum of (80/5 + 9). 80/5 = 16, and 16 + 9 = 25. √25 = 5.</p>

70 <p>To find the square root, we first find the sum of (80/5 + 9). 80/5 = 16, and 16 + 9 = 25. √25 = 5.</p>

72 <p>Therefore, the square root of (80/5 + 9) is 5.</p>

71 <p>Therefore, the square root of (80/5 + 9) is 5.</p>

73 <p>Well explained 👍</p>

72 <p>Well explained 👍</p>

74 <h3>Problem 5</h3>

73 <h3>Problem 5</h3>

75 <p>Find the perimeter of a rectangle if its length 'l' is √80/5 units and the width 'w' is 10 units.</p>

74 <p>Find the perimeter of a rectangle if its length 'l' is √80/5 units and the width 'w' is 10 units.</p>

76 <p>Okay, lets begin</p>

75 <p>Okay, lets begin</p>

77 <p>The perimeter of the rectangle is 28 units.</p>

76 <p>The perimeter of the rectangle is 28 units.</p>

78 <h3>Explanation</h3>

77 <h3>Explanation</h3>

79 <p>Perimeter of a rectangle = 2 × (length + width).</p>

78 <p>Perimeter of a rectangle = 2 × (length + width).</p>

80 <p>Perimeter = 2 × (√80/5 + 10) = 2 × (4 + 10) = 2 × 14 = 28 units.</p>

79 <p>Perimeter = 2 × (√80/5 + 10) = 2 × (4 + 10) = 2 × 14 = 28 units.</p>

81 <p>Well explained 👍</p>

80 <p>Well explained 👍</p>

82 <h2>FAQ on Square Root of 80/5</h2>

81 <h2>FAQ on Square Root of 80/5</h2>

83 <h3>1.What is √80/5 in its simplest form?</h3>

82 <h3>1.What is √80/5 in its simplest form?</h3>

84 <p>80/5 simplifies to 16, and the simplest form of √16 is 4.</p>

83 <p>80/5 simplifies to 16, and the simplest form of √16 is 4.</p>

85 <h3>2.Mention the factors of 16.</h3>

84 <h3>2.Mention the factors of 16.</h3>

86 <p>Factors of 16 are 1, 2, 4, 8, and 16.</p>

85 <p>Factors of 16 are 1, 2, 4, 8, and 16.</p>

87 <h3>3.Calculate the square of 16.</h3>

86 <h3>3.Calculate the square of 16.</h3>

88 <p>We get the square of 16 by multiplying the number by itself: 16 x 16 = 256.</p>

87 <p>We get the square of 16 by multiplying the number by itself: 16 x 16 = 256.</p>

89 <h3>4.Is 16 a prime number?</h3>

88 <h3>4.Is 16 a prime number?</h3>

90 <h3>5.16 is divisible by?</h3>

89 <h3>5.16 is divisible by?</h3>

91 <p>16 is divisible by 1, 2, 4, 8, and 16.</p>

90 <p>16 is divisible by 1, 2, 4, 8, and 16.</p>

92 <h2>Important Glossaries for the Square Root of 80/5</h2>

91 <h2>Important Glossaries for the Square Root of 80/5</h2>

93 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 42 = 16 and the inverse of the square is the square root, that is, √16 = 4.</li>

92 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 42 = 16 and the inverse of the square is the square root, that is, √16 = 4.</li>

94 </ul><ul><li><strong>Rational number:</strong>A rational number can be expressed in the form of p/q, where p and q are integers and q ≠ 0.</li>

93 </ul><ul><li><strong>Rational number:</strong>A rational number can be expressed in the form of p/q, where p and q are integers and q ≠ 0.</li>

95 </ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4^2.</li>

94 </ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4^2.</li>

96 </ul><ul><li><strong>Prime factorization:</strong>Prime factorization is the process of writing a number as the product of its prime factors. For example, 16 = 2 x 2 x 2 x 2.</li>

95 </ul><ul><li><strong>Prime factorization:</strong>Prime factorization is the process of writing a number as the product of its prime factors. For example, 16 = 2 x 2 x 2 x 2.</li>

97 </ul><ul><li><strong>Long division method:</strong>A method used to find the square root of a number by dividing and averaging. It is particularly useful for non-perfect squares but can be used for perfect squares as well.</li>

96 </ul><ul><li><strong>Long division method:</strong>A method used to find the square root of a number by dividing and averaging. It is particularly useful for non-perfect squares but can be used for perfect squares as well.</li>

98 </ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>

97 </ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>

99 <p>▶</p>

98 <p>▶</p>

100 <h2>Jaskaran Singh Saluja</h2>

99 <h2>Jaskaran Singh Saluja</h2>

101 <h3>About the Author</h3>

100 <h3>About the Author</h3>

102 <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>

101 <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>

103 <h3>Fun Fact</h3>

102 <h3>Fun Fact</h3>

104 <p>: He loves to play the quiz with kids through algebra to make kids love it.</p>

103 <p>: He loves to play the quiz with kids through algebra to make kids love it.</p>