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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 the field of vehicle design, finance, etc. Here, we will discuss the square root of 79.</p>

4 <h2>What is the Square Root of 79?</h2>

5 <p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 79 is not a<a>perfect square</a>. The square root of 79 is expressed in both radical and<a>exponential form</a>.</p>

6 <p>In the radical form, it is expressed as √79, whereas (79)(1/2) in the exponential form. √79 ≈ 8.888, 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>

7 <h2>Finding the Square Root of 79</h2>

8 <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 long-<a>division</a>method and approximation method are used. Let us now learn the following methods:</p>

9 <ol><li>Prime factorization method</li>

10 <li>Long division method</li>

11 <li>Approximation method</li>

12 </ol><h2>Square Root of 79 by Prime Factorization Method</h2>

13 <p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 79 is broken down into its prime factors.</p>

14 <p><strong>Step 1:</strong>Finding the prime factors of 79 79 is a<a>prime number</a>and can only be divided by 1 and 79 itself.</p>

15 <p><strong>Step 2:</strong>Since 79 is not a perfect square, calculating √79 using prime factorization is not feasible.</p>

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18 <h2>Square Root of 79 by Long Division Method</h2>

17 <h2>Square Root of 79 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>

18 <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 79, we need to group it as 79.</p>

19 <p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 79, we need to group it as 79.</p>

21 <p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 79. We can say n as ‘8’ because 8 × 8 = 64 is lesser than 79. Now the<a>quotient</a>is 8 after subtracting 64 from 79, the<a>remainder</a>is 15.</p>

20 <p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 79. We can say n as ‘8’ because 8 × 8 = 64 is lesser than 79. Now the<a>quotient</a>is 8 after subtracting 64 from 79, the<a>remainder</a>is 15.</p>

22 <p><strong>Step 3:</strong>Now let us bring down 00 to make it 1500, the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 8 + 8 = 16, which will be our new divisor.</p>

21 <p><strong>Step 3:</strong>Now let us bring down 00 to make it 1500, the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 8 + 8 = 16, 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 16n as the new divisor, we need to find the value of n.</p>

22 <p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 16n as the new divisor, we need to find the value of n.</p>

24 <p><strong>Step 5:</strong>The next step is finding 16n × n ≤ 1500. Let us consider n as 9, now 16 × 9 = 1449.</p>

23 <p><strong>Step 5:</strong>The next step is finding 16n × n ≤ 1500. Let us consider n as 9, now 16 × 9 = 1449.</p>

25 <p><strong>Step 6:</strong>Subtract 1449 from 1500, the difference is 51, and the quotient is 8.9.</p>

24 <p><strong>Step 6:</strong>Subtract 1449 from 1500, the difference is 51, and the quotient is 8.9.</p>

26 <p><strong>Step 7:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values,</p>

25 <p><strong>Step 7:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values,</p>

27 <p>continue till the remainder is zero. So the square root of √79 ≈ 8.88.</p>

26 <p>continue till the remainder is zero. So the square root of √79 ≈ 8.88.</p>

28 <h2>Square Root of 79 by Approximation Method</h2>

27 <h2>Square Root of 79 by Approximation Method</h2>

29 <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 79 using the approximation method.</p>

28 <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 79 using the approximation method.</p>

30 <p><strong>Step 1:</strong>Now we have to find the closest perfect square of √79. The smallest perfect square less than 79 is 64 (8^2), and the largest perfect square<a>greater than</a>79 is 81 (9^2). √79 falls somewhere between 8 and 9.</p>

29 <p><strong>Step 1:</strong>Now we have to find the closest perfect square of √79. The smallest perfect square less than 79 is 64 (8^2), and the largest perfect square<a>greater than</a>79 is 81 (9^2). √79 falls somewhere between 8 and 9.</p>

31 <p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>that is (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Going by the formula (79 - 64) / (81-64) = 15 / 17 ≈ 0.882.</p>

30 <p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>that is (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Going by the formula (79 - 64) / (81-64) = 15 / 17 ≈ 0.882.</p>

32 <p>Using the formula, we identified the<a>decimal</a>point of our square root. The next step is adding the value we got initially to the decimal number, which is 8 + 0.882 ≈ 8.882,</p>

31 <p>Using the formula, we identified the<a>decimal</a>point of our square root. The next step is adding the value we got initially to the decimal number, which is 8 + 0.882 ≈ 8.882,</p>

33 <p>so the square root of 79 is approximately 8.882.</p>

32 <p>so the square root of 79 is approximately 8.882.</p>

34 <h2>Common Mistakes and How to Avoid Them in the Square Root of 79</h2>

33 <h2>Common Mistakes and How to Avoid Them in the Square Root of 79</h2>

35 <p>Students do make mistakes while finding the square root, likewise forgetting about the negative square root, skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>

34 <p>Students do make mistakes while finding the square root, likewise forgetting about the negative square root, skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>

35 + <h2>Download Worksheets</h2>

36 <h3>Problem 1</h3>

37 <p>Can you help Max find the area of a square box if its side length is given as √79?</p>

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

39 <p>The area of the square is approximately 79 square units.</p>

40 <h3>Explanation</h3>

41 <p>The area of the square = side2.</p>

42 <p>The side length is given as √79.</p>

43 <p>Area of the square = side2 = √79 × √79 = 79.</p>

44 <p>Therefore, the area of the square box is approximately 79 square units.</p>

45 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

47 <p>A square-shaped building measuring 79 square feet is built; if each of the sides is √79, what will be the square feet of half of the building?</p>

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

49 <p>39.5 square feet</p>

50 <h3>Explanation</h3>

51 <p>We can just divide the given area by 2 as the building is square-shaped.</p>

52 <p>Dividing 79 by 2, we get 39.5. So half of the building measures 39.5 square feet.</p>

53 <p>Well explained 👍</p>

54 <h3>Problem 3</h3>

55 <p>Calculate √79 x 5.</p>

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

57 <p>Approximately 44.4</p>

58 <h3>Explanation</h3>

59 <p>The first step is to find the square root of 79, which is approximately 8.888.</p>

60 <p>The second step is to multiply 8.888 with 5. So 8.888 × 5 ≈ 44.4.</p>

61 <p>Well explained 👍</p>

62 <h3>Problem 4</h3>

63 <p>What will be the square root of (49 + 30)?</p>

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

65 <p>The square root is 9</p>

66 <h3>Explanation</h3>

67 <p>To find the square root, we need to find the sum of (49 + 30). 49 + 30 = 79, and then √79 ≈ 8.888.</p>

68 <p>Therefore, the square root of (49 + 30) is approximately ±8.888.</p>

69 <p>Well explained 👍</p>

70 <h3>Problem 5</h3>

71 <p>Find the perimeter of the rectangle if its length ‘l’ is √79 units and the width ‘w’ is 20 units.</p>

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

73 <p>The perimeter of the rectangle is approximately 57.776 units.</p>

74 <h3>Explanation</h3>

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

76 <p>Perimeter = 2 × (√79 + 20)</p>

77 <p>= 2 × (8.888 + 20)</p>

78 <p>= 2 × 28.888 ≈ 57.776 units.</p>

79 <p>Well explained 👍</p>

80 <h2>FAQ on Square Root of 79</h2>

81 <h3>1.What is √79 in its simplest form?</h3>

82 <p>Since 79 is a prime number, the simplest form of √79 remains √79 as it cannot be simplified further.</p>

83 <h3>2.Mention the factors of 79.</h3>

84 <p>Factors of 79 are 1 and 79, as 79 is a prime number.</p>

85 <h3>3.Calculate the square of 79.</h3>

86 <p>We get the square of 79 by multiplying the number by itself, that is 79 × 79 = 6241.</p>

87 <h3>4.Is 79 a prime number?</h3>

88 <p>Yes, 79 is a prime number as it has no divisors other than 1 and itself.</p>

89 <h3>5.79 is divisible by?</h3>

90 <p>79 is only divisible by 1 and 79 itself since it is a prime number.</p>

91 <h2>Important Glossaries for the Square Root of 79</h2>

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>

93 </ul><ul><li><strong>Irrational number:</strong>An irrational number is a number that cannot be written in the form of p/q, q is not equal to zero, and p and q are integers.</li>

94 </ul><ul><li><strong>Prime number:</strong>A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. Example: 2, 3, 5, 79.</li>

95 </ul><ul><li><strong>Long division method:</strong>A systematic method of dividing numbers to find the square root, especially useful for non-perfect squares.</li>

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

98 <p>▶</p>

99 <h2>Jaskaran Singh Saluja</h2>

100 <h3>About the Author</h3>

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>

102 <h3>Fun Fact</h3>

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