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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 various fields such as engineering, finance, etc. Here, we will discuss the square root of 8/9.</p>

4 <h2>What is the Square Root of 8/9?</h2>

5 <p>The<a>square</a>root is the inverse of the square of a<a>number</a>. 8/9 is a<a>fraction</a>, and its square root can be expressed in both radical and exponential forms. In radical form, it is expressed as √(8/9), whereas in<a>exponential form</a>, it is (8/9)^(1/2). The square root of 8/9 simplifies to √8/√9, which is approximately 0.94281. This is a<a>rational number</a>because it can be expressed as a fraction.</p>

6 <h2>Finding the Square Root of 8/9</h2>

7 <p>To find the<a>square root</a>of a fraction, you can take the square root of the<a>numerator</a>and the square root of the<a>denominator</a>separately. Let us now learn the following methods: Simplification method Decimal approximation method</p>

8 <h2>Square Root of 8/9 by Simplification Method</h2>

9 <p>To simplify the square root of a fraction like 8/9, follow these steps:</p>

10 <p><strong>Step 1:</strong>Find the square root of the numerator and the denominator separately. The numerator is 8, and the denominator is 9.</p>

11 <p><strong>Step 2:</strong>The square root of 8 is approximately 2.82843, and the square root of 9 is exactly 3.</p>

12 <p><strong>Step 3:</strong>Divide the square root of the numerator by the square root of the denominator: 2.82843/3 = 0.94281.</p>

13 <p>Thus, the square root of 8/9 is approximately 0.94281.</p>

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16 <h2>Square Root of 8/9 by Decimal Approximation Method</h2>

15 <h2>Square Root of 8/9 by Decimal Approximation Method</h2>

17 <p>The<a>decimal</a>approximation method for finding the square root is straightforward. Here is how you can find the square root of 8/9 using this method:</p>

16 <p>The<a>decimal</a>approximation method for finding the square root is straightforward. Here is how you can find the square root of 8/9 using this method:</p>

18 <p><strong>Step 1:</strong>Convert the fraction 8/9 into a decimal, which is approximately 0.88889.</p>

17 <p><strong>Step 1:</strong>Convert the fraction 8/9 into a decimal, which is approximately 0.88889.</p>

19 <p><strong>Step 2:</strong>Use a<a>calculator</a>to find the square root of 0.88889, which is approximately 0.94281.</p>

18 <p><strong>Step 2:</strong>Use a<a>calculator</a>to find the square root of 0.88889, which is approximately 0.94281.</p>

20 <h2>Common Mistakes and How to Avoid Them in the Square Root of 8/9</h2>

19 <h2>Common Mistakes and How to Avoid Them in the Square Root of 8/9</h2>

21 <p>Students often make mistakes while finding the square root, such as forgetting to simplify the fraction or incorrectly applying the square root to both the numerator and the denominator separately. Here are some common mistakes and how to avoid them.</p>

20 <p>Students often make mistakes while finding the square root, such as forgetting to simplify the fraction or incorrectly applying the square root to both the numerator and the denominator separately. Here are some common mistakes and how to avoid them.</p>

22 <h3>Problem 1</h3>

21 <h3>Problem 1</h3>

23 <p>Can you help Max find the area of a square box if its side length is given as √(8/9)?</p>

22 <p>Can you help Max find the area of a square box if its side length is given as √(8/9)?</p>

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

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

25 <p>The area of the square is 0.88889 square units.</p>

24 <p>The area of the square is 0.88889 square units.</p>

26 <h3>Explanation</h3>

25 <h3>Explanation</h3>

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

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

28 <p>The side length is given as √(8/9).</p>

27 <p>The side length is given as √(8/9).</p>

29 <p>Area of the square = (√(8/9))²</p>

28 <p>Area of the square = (√(8/9))²</p>

30 <p>= 8/9</p>

29 <p>= 8/9</p>

31 <p>= 0.88889.</p>

30 <p>= 0.88889.</p>

32 <p>Therefore, the area of the square box is 0.88889 square units.</p>

31 <p>Therefore, the area of the square box is 0.88889 square units.</p>

33 <p>Well explained 👍</p>

32 <p>Well explained 👍</p>

34 <h3>Problem 2</h3>

33 <h3>Problem 2</h3>

35 <p>A square-shaped building measuring 8/9 square feet is built; if each of the sides is √(8/9), what will be the square feet of half of the building?</p>

34 <p>A square-shaped building measuring 8/9 square feet is built; if each of the sides is √(8/9), what will be the square feet of half of the building?</p>

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

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

37 <p>0.44444 square feet</p>

36 <p>0.44444 square feet</p>

38 <h3>Explanation</h3>

37 <h3>Explanation</h3>

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

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

40 <p>Dividing 8/9 by 2 = (8/9)/2</p>

39 <p>Dividing 8/9 by 2 = (8/9)/2</p>

41 <p>= 0.44444.</p>

40 <p>= 0.44444.</p>

42 <p>So half of the building measures 0.44444 square feet.</p>

41 <p>So half of the building measures 0.44444 square feet.</p>

43 <p>Well explained 👍</p>

42 <p>Well explained 👍</p>

44 <h3>Problem 3</h3>

43 <h3>Problem 3</h3>

45 <p>Calculate √(8/9) x 5.</p>

44 <p>Calculate √(8/9) x 5.</p>

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

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

47 <p>4.71405</p>

46 <p>4.71405</p>

48 <h3>Explanation</h3>

47 <h3>Explanation</h3>

49 <p>The first step is to find the square root of 8/9, which is approximately 0.94281.</p>

48 <p>The first step is to find the square root of 8/9, which is approximately 0.94281.</p>

50 <p>The second step is to multiply 0.94281 by 5. So 0.94281 x 5 = 4.71405.</p>

49 <p>The second step is to multiply 0.94281 by 5. So 0.94281 x 5 = 4.71405.</p>

51 <p>Well explained 👍</p>

50 <p>Well explained 👍</p>

52 <h3>Problem 4</h3>

51 <h3>Problem 4</h3>

53 <p>What will be the square root of (8/9 + 1/9)?</p>

52 <p>What will be the square root of (8/9 + 1/9)?</p>

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

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

55 <p>The square root is 1.</p>

54 <p>The square root is 1.</p>

56 <h3>Explanation</h3>

55 <h3>Explanation</h3>

57 <p>To find the square root, first find the sum of (8/9 + 1/9).</p>

56 <p>To find the square root, first find the sum of (8/9 + 1/9).</p>

58 <p>8/9 + 1/9 = 9/9 = 1, and then √1 = 1.</p>

57 <p>8/9 + 1/9 = 9/9 = 1, and then √1 = 1.</p>

59 <p>Therefore, the square root of (8/9 + 1/9) is 1.</p>

58 <p>Therefore, the square root of (8/9 + 1/9) is 1.</p>

60 <p>Well explained 👍</p>

59 <p>Well explained 👍</p>

61 <h3>Problem 5</h3>

60 <h3>Problem 5</h3>

62 <p>Find the perimeter of the rectangle if its length 'l' is √(8/9) units and the width 'w' is 1 unit.</p>

61 <p>Find the perimeter of the rectangle if its length 'l' is √(8/9) units and the width 'w' is 1 unit.</p>

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

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

64 <p>The perimeter of the rectangle is 3.88562 units.</p>

63 <p>The perimeter of the rectangle is 3.88562 units.</p>

65 <h3>Explanation</h3>

64 <h3>Explanation</h3>

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

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

67 <p>Perimeter = 2 × (√(8/9) + 1)</p>

66 <p>Perimeter = 2 × (√(8/9) + 1)</p>

68 <p>= 2 × (0.94281 + 1)</p>

67 <p>= 2 × (0.94281 + 1)</p>

69 <p>= 2 × 1.94281</p>

68 <p>= 2 × 1.94281</p>

70 <p>= 3.88562 units.</p>

69 <p>= 3.88562 units.</p>

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h2>FAQ on Square Root of 8/9</h2>

71 <h2>FAQ on Square Root of 8/9</h2>

73 <h3>1.What is √(8/9) in its simplest form?</h3>

72 <h3>1.What is √(8/9) in its simplest form?</h3>

74 <p>The simplest form of √(8/9) is √8/√9, which simplifies to 2√2/3 or approximately 0.94281.</p>

73 <p>The simplest form of √(8/9) is √8/√9, which simplifies to 2√2/3 or approximately 0.94281.</p>

75 <h3>2.Can the square root of 8/9 be expressed as a fraction?</h3>

74 <h3>2.Can the square root of 8/9 be expressed as a fraction?</h3>

76 <p>Yes, the square root of 8/9 can be expressed as a fraction, which is 2√2/3, but in decimal form, it is approximately 0.94281.</p>

75 <p>Yes, the square root of 8/9 can be expressed as a fraction, which is 2√2/3, but in decimal form, it is approximately 0.94281.</p>

77 <h3>3.Calculate the square of 8/9.</h3>

76 <h3>3.Calculate the square of 8/9.</h3>

78 <p>The square of 8/9 is (8/9)² = 64/81.</p>

77 <p>The square of 8/9 is (8/9)² = 64/81.</p>

79 <h3>4.Is 8/9 a perfect square?</h3>

78 <h3>4.Is 8/9 a perfect square?</h3>

80 <h3>5.What are the factors of 8/9?</h3>

79 <h3>5.What are the factors of 8/9?</h3>

81 <h2>Important Glossaries for the Square Root of 8/9</h2>

80 <h2>Important Glossaries for the Square Root of 8/9</h2>

82 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. For example, 3² = 9, and the inverse of the square is the square root, so √9 = 3. </li>

81 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. For example, 3² = 9, and the inverse of the square is the square root, so √9 = 3. </li>

83 <li><strong>Rational number:</strong>A rational number is a number that can be expressed in the form p/q, where q is not equal to zero and p and q are integers. </li>

82 <li><strong>Rational number:</strong>A rational number is a number that can be expressed in the form p/q, where q is not equal to zero and p and q are integers. </li>

84 <li><strong>Fraction:</strong>A fraction represents a part of a whole or any number of equal parts. It is expressed as a/b, where a is the numerator and b is the denominator. </li>

83 <li><strong>Fraction:</strong>A fraction represents a part of a whole or any number of equal parts. It is expressed as a/b, where a is the numerator and b is the denominator. </li>

85 <li><strong>Decimal:</strong>A decimal is a way of expressing numbers that include a whole number and a fraction, represented with a decimal point. For example, 0.5, 0.75, and 1.25 are decimals. </li>

84 <li><strong>Decimal:</strong>A decimal is a way of expressing numbers that include a whole number and a fraction, represented with a decimal point. For example, 0.5, 0.75, and 1.25 are decimals. </li>

86 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 9 is a perfect square because it is 3².</li>

85 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 9 is a perfect square because it is 3².</li>

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

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

88 <p>▶</p>

87 <p>▶</p>

89 <h2>Jaskaran Singh Saluja</h2>

88 <h2>Jaskaran Singh Saluja</h2>

90 <h3>About the Author</h3>

89 <h3>About the Author</h3>

91 <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>

90 <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>

92 <h3>Fun Fact</h3>

91 <h3>Fun Fact</h3>

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

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