Rivalry2

HTML Diff

1 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>796 Learners</p>

1 + <p>890 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 2/3.</p>

4 <h2>What is the Square Root of 2/3?</h2>

5 <p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 2/3 is not a<a>perfect square</a>. The square root of 2/3 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(2/3), whereas (2/3)^(1/2) in the exponential form. √(2/3) ≈ 0.8165, 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 2/3</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>decimal</a>approximation method and simplification method are used. Let us now learn the following methods:</p>

8 <ul><li>Decimal approximation method</li>

9 <li>Simplification method</li>

10 </ul><h2>Square Root of 2/3 by Decimal Approximation Method</h2>

11 <p>The decimal approximation method is particularly used for non-perfect square numbers. In this method, we calculate the decimal value of the<a>square root</a>using a<a>calculator</a>or approximation techniques.</p>

12 <p><strong>Step 1:</strong>Convert the<a>fraction</a>to a decimal. 2/3 ≈ 0.6667.</p>

13 <p><strong>Step 2:</strong>Find the square root of the decimal. √0.6667 ≈ 0.8165.</p>

14 <p>Therefore, the square root of 2/3 is approximately 0.8165.</p>

15 <h3>Explore Our Programs</h3>

16 - <p>No Courses Available</p>

17 <h2>Square Root of 2/3 by Simplification Method</h2>

16 <h2>Square Root of 2/3 by Simplification Method</h2>

18 <p>The simplification method involves rewriting the square root of a fraction in a simplified radical form.</p>

17 <p>The simplification method involves rewriting the square root of a fraction in a simplified radical form.</p>

19 <p><strong>Step 1:</strong>Express the square root of 2/3 as a fraction under a radical: √(2/3) = √2/√3.</p>

18 <p><strong>Step 1:</strong>Express the square root of 2/3 as a fraction under a radical: √(2/3) = √2/√3.</p>

20 <p><strong>Step 2:</strong>Rationalize the<a>denominator</a>by multiplying the<a>numerator</a>and the denominator by √3: (√2/√3) × (√3/√3) = √6/3.</p>

19 <p><strong>Step 2:</strong>Rationalize the<a>denominator</a>by multiplying the<a>numerator</a>and the denominator by √3: (√2/√3) × (√3/√3) = √6/3.</p>

21 <p>Therefore, √(2/3) = √6/3, which is the simplified form.</p>

20 <p>Therefore, √(2/3) = √6/3, which is the simplified form.</p>

22 <h2>Common Mistakes and How to Avoid Them in the Square Root of 2/3</h2>

21 <h2>Common Mistakes and How to Avoid Them in the Square Root of 2/3</h2>

23 <p>Students often make mistakes while finding the square root, like forgetting about the negative square root or improper simplification. Here are a few mistakes that students tend to make in detail.</p>

22 <p>Students often make mistakes while finding the square root, like forgetting about the negative square root or improper simplification. Here are a few mistakes that students tend to make in detail.</p>

24 <h3>Problem 1</h3>

23 <h3>Problem 1</h3>

25 <p>Can you help Max find the area of a square box if its side length is given as √(2/3)?</p>

24 <p>Can you help Max find the area of a square box if its side length is given as √(2/3)?</p>

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

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

27 <p>The area of the square is approximately 0.6667 square units.</p>

26 <p>The area of the square is approximately 0.6667 square units.</p>

28 <h3>Explanation</h3>

27 <h3>Explanation</h3>

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

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

30 <p>The side length is given as √(2/3).</p>

29 <p>The side length is given as √(2/3).</p>

31 <p>Area of the square = (√(2/3))² = 2/3 ≈ 0.6667.</p>

30 <p>Area of the square = (√(2/3))² = 2/3 ≈ 0.6667.</p>

32 <p>Therefore, the area of the square box is approximately 0.6667 square units.</p>

31 <p>Therefore, the area of the square box is approximately 0.6667 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 rectangle has a length of 2√(2/3) units and a width of 3 units. What is the area of the rectangle?</p>

34 <p>A rectangle has a length of 2√(2/3) units and a width of 3 units. What is the area of the rectangle?</p>

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

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

37 <p>The area of the rectangle is approximately 3.265 square units.</p>

36 <p>The area of the rectangle is approximately 3.265 square units.</p>

38 <h3>Explanation</h3>

37 <h3>Explanation</h3>

39 <p>Area of the rectangle = length × width.</p>

38 <p>Area of the rectangle = length × width.</p>

40 <p>Length = 2√(2/3) ≈ 2 × 0.8165 ≈ 1.633 units.</p>

39 <p>Length = 2√(2/3) ≈ 2 × 0.8165 ≈ 1.633 units.</p>

41 <p>Width = 3 units. Area = 1.633 × 3 ≈ 4.899.</p>

40 <p>Width = 3 units. Area = 1.633 × 3 ≈ 4.899.</p>

42 <p>Therefore, the area of the rectangle is approximately 4.899 square units.</p>

41 <p>Therefore, the area of the rectangle is approximately 4.899 square units.</p>

43 <p>Well explained 👍</p>

42 <p>Well explained 👍</p>

44 <h3>Problem 3</h3>

43 <h3>Problem 3</h3>

45 <p>Calculate √(2/3) x 4.</p>

44 <p>Calculate √(2/3) x 4.</p>

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

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

47 <p>Approximately 3.266.</p>

46 <p>Approximately 3.266.</p>

48 <h3>Explanation</h3>

47 <h3>Explanation</h3>

49 <p>The first step is to find the square root of 2/3, which is approximately 0.8165.</p>

48 <p>The first step is to find the square root of 2/3, which is approximately 0.8165.</p>

50 <p>The second step is to multiply 0.8165 by 4.</p>

49 <p>The second step is to multiply 0.8165 by 4.</p>

51 <p>So 0.8165 × 4 ≈ 3.266.</p>

50 <p>So 0.8165 × 4 ≈ 3.266.</p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h3>Problem 4</h3>

52 <h3>Problem 4</h3>

54 <p>What will be the square root of (2/3) × 9?</p>

53 <p>What will be the square root of (2/3) × 9?</p>

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

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

56 <p>The square root is approximately 2.121.</p>

55 <p>The square root is approximately 2.121.</p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p>To find the square root, first calculate (2/3) × 9 = 6.</p>

57 <p>To find the square root, first calculate (2/3) × 9 = 6.</p>

59 <p>Then, √6 ≈ 2.121.</p>

58 <p>Then, √6 ≈ 2.121.</p>

60 <p>Therefore, the square root of (2/3) × 9 is approximately ±2.121.</p>

59 <p>Therefore, the square root of (2/3) × 9 is approximately ±2.121.</p>

61 <p>Well explained 👍</p>

60 <p>Well explained 👍</p>

62 <h3>Problem 5</h3>

61 <h3>Problem 5</h3>

63 <p>Find the perimeter of a rectangle if its length ‘l’ is √(2/3) units and the width ‘w’ is 5 units.</p>

62 <p>Find the perimeter of a rectangle if its length ‘l’ is √(2/3) units and the width ‘w’ is 5 units.</p>

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

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

65 <p>The perimeter of the rectangle is approximately 11.633 units.</p>

64 <p>The perimeter of the rectangle is approximately 11.633 units.</p>

66 <h3>Explanation</h3>

65 <h3>Explanation</h3>

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

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

68 <p>Length = √(2/3) ≈ 0.8165 units.</p>

67 <p>Length = √(2/3) ≈ 0.8165 units.</p>

69 <p>Width = 5 units. Perimeter = 2 × (0.8165 + 5) = 2 × 5.8165 ≈ 11.633 units.</p>

68 <p>Width = 5 units. Perimeter = 2 × (0.8165 + 5) = 2 × 5.8165 ≈ 11.633 units.</p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h2>FAQ on Square Root of 2/3</h2>

70 <h2>FAQ on Square Root of 2/3</h2>

72 <h3>1.What is √(2/3) in its simplest form?</h3>

71 <h3>1.What is √(2/3) in its simplest form?</h3>

73 <h3>2.Is 2/3 a perfect square?</h3>

72 <h3>2.Is 2/3 a perfect square?</h3>

74 <p>No, 2/3 is not a perfect square, as its square root is an irrational number.</p>

73 <p>No, 2/3 is not a perfect square, as its square root is an irrational number.</p>

75 <h3>3.How do you rationalize √(2/3)?</h3>

74 <h3>3.How do you rationalize √(2/3)?</h3>

76 <p>To<a>rationalize</a>√(2/3), multiply the numerator and the denominator by √3 to get √6/3.</p>

75 <p>To<a>rationalize</a>√(2/3), multiply the numerator and the denominator by √3 to get √6/3.</p>

77 <h3>4.What type of number is √(2/3)?</h3>

76 <h3>4.What type of number is √(2/3)?</h3>

78 <p>√(2/3) is an irrational number because it cannot be expressed as a simple fraction.</p>

77 <p>√(2/3) is an irrational number because it cannot be expressed as a simple fraction.</p>

79 <h3>5.Is √(2/3) a rational number?</h3>

78 <h3>5.Is √(2/3) a rational number?</h3>

80 <p>No, √(2/3) is an irrational number because it does not terminate or repeat.</p>

79 <p>No, √(2/3) is an irrational number because it does not terminate or repeat.</p>

81 <h2>Important Glossaries for the Square Root of 2/3</h2>

80 <h2>Important Glossaries for the Square Root of 2/3</h2>

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

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

83 </ul><ul><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>

82 </ul><ul><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>

84 </ul><ul><li><strong>Rationalization:</strong>The process of eliminating radicals from the denominator of a fraction.</li>

83 </ul><ul><li><strong>Rationalization:</strong>The process of eliminating radicals from the denominator of a fraction.</li>

85 </ul><ul><li><strong>Decimal approximation:</strong>An approximate value of a number represented in decimal form, often used for irrational numbers.</li>

84 </ul><ul><li><strong>Decimal approximation:</strong>An approximate value of a number represented in decimal form, often used for irrational numbers.</li>

86 </ul><ul><li><strong>Fraction:</strong>A numerical quantity that is not a whole number, represented by two numbers divided by a slash, such as 2/3.</li>

85 </ul><ul><li><strong>Fraction:</strong>A numerical quantity that is not a whole number, represented by two numbers divided by a slash, such as 2/3.</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>