Rivalry2

HTML Diff

1 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>355 Learners</p>

1 + <p>410 Learners</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 3/8.</p>

4 <h2>What is the Square Root of 3/8?</h2>

5 <p>The<a>square</a>root is the inverse<a>of</a>the square of a<a>number</a>. The<a>fraction</a>3/8 is not a<a>perfect square</a>. The square root of 3/8 is expressed in both radical and exponential forms. In the radical form, it is expressed as √(3/8), whereas (3/8)^(1/2) in the<a>exponential form</a>. √(3/8) = √3/√8 = √3/(2√2) which simplifies to √6/4. This is an<a>irrational number</a>because it cannot be expressed in the form of p/q, where p and q are integers and q ≠ 0.</p>

6 <h2>Finding the Square Root of 3/8</h2>

7 <p>Various methods can be used to find the<a>square root</a>of fractions or non-perfect square numbers, such as the long-<a>division</a>method and approximation method. Let us now learn the following methods:</p>

8 <ul><li>Simplifying the radical</li>

9 <li>Long division method</li>

10 <li>Approximation method</li>

11 </ul><h2>Square Root of 3/8 by Simplifying the Radical</h2>

12 <p>To simplify the square root of a fraction, we take the square root of the<a>numerator</a>and the square root of the<a>denominator</a>separately.</p>

13 <p><strong>Step 1:</strong>Find the square root of the numerator and the denominator separately: √3 and √8.</p>

14 <p><strong>Step 2:</strong>Simplify the<a>expression</a>: √(3/8) = √3/√8.</p>

15 <p><strong>Step 3:</strong>Multiply the<a>numerator and denominator</a>by √2 to<a>rationalize</a>the denominator: √3/√8 = √3/(2√2) = √6/4.</p>

16 <h3>Explore Our Programs</h3>

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

18 <h2>Square Root of 3/8 by Long Division Method</h2>

17 <h2>Square Root of 3/8 by Long Division Method</h2>

19 <p>The<a>long division</a>method is particularly useful for approximating square roots of non-perfect squares. In this method, we should check the closest perfect square number for the given fraction.</p>

18 <p>The<a>long division</a>method is particularly useful for approximating square roots of non-perfect squares. In this method, we should check the closest perfect square number for the given fraction.</p>

20 <p><strong>Step 1:</strong>Convert 3/8 into<a>decimal</a>form: 3 divided by 8 is 0.375.</p>

19 <p><strong>Step 1:</strong>Convert 3/8 into<a>decimal</a>form: 3 divided by 8 is 0.375.</p>

21 <p><strong>Step 2:</strong>Use the long division method to find the square root of 0.375 (as we would for any decimal number).</p>

20 <p><strong>Step 2:</strong>Use the long division method to find the square root of 0.375 (as we would for any decimal number).</p>

22 <p><strong>Step 3:</strong>Continue the division process until you reach the desired precision.</p>

21 <p><strong>Step 3:</strong>Continue the division process until you reach the desired precision.</p>

23 <p>The approximate square root of 0.375 is 0.612372.</p>

22 <p>The approximate square root of 0.375 is 0.612372.</p>

24 <h2>Square Root of 3/8 by Approximation Method</h2>

23 <h2>Square Root of 3/8 by Approximation Method</h2>

25 <p>The approximation method is another method for finding square roots, and 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 3/8 using the approximation method.</p>

24 <p>The approximation method is another method for finding square roots, and 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 3/8 using the approximation method.</p>

26 <p><strong>Step 1:</strong>Convert 3/8 into decimal form: 0.375.</p>

25 <p><strong>Step 1:</strong>Convert 3/8 into decimal form: 0.375.</p>

27 <p><strong>Step 2:</strong>Find two perfect squares that 0.375 lies between. For example, 0.25 (0.5^2) and 0.36 (0.6^2).</p>

26 <p><strong>Step 2:</strong>Find two perfect squares that 0.375 lies between. For example, 0.25 (0.5^2) and 0.36 (0.6^2).</p>

28 <p><strong>Step 3:</strong>Use interpolation to approximate the square root: 0.375 is closer to 0.36, so the square root is closer to 0.6.</p>

27 <p><strong>Step 3:</strong>Use interpolation to approximate the square root: 0.375 is closer to 0.36, so the square root is closer to 0.6.</p>

29 <p><strong>Step 4:</strong>Using interpolation, approximate √0.375 as approximately 0.612.</p>

28 <p><strong>Step 4:</strong>Using interpolation, approximate √0.375 as approximately 0.612.</p>

30 <h2>Common Mistakes and How to Avoid Them in the Square Root of 3/8</h2>

29 <h2>Common Mistakes and How to Avoid Them in the Square Root of 3/8</h2>

31 <p>Students often make mistakes while finding the square root, such as forgetting to rationalize the denominator or incorrectly converting fractions to decimals. Let us look at a few of these mistakes in detail.</p>

30 <p>Students often make mistakes while finding the square root, such as forgetting to rationalize the denominator or incorrectly converting fractions to decimals. Let us look at a few of these mistakes in detail.</p>

32 <h3>Problem 1</h3>

31 <h3>Problem 1</h3>

33 <p>Can you help Max find the area of a square box if its side length is given as √(3/8)?</p>

32 <p>Can you help Max find the area of a square box if its side length is given as √(3/8)?</p>

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

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

35 <p>The area of the square is 0.140625 square units.</p>

34 <p>The area of the square is 0.140625 square units.</p>

36 <h3>Explanation</h3>

35 <h3>Explanation</h3>

37 <p>The area of the square = side^2.</p>

36 <p>The area of the square = side^2.</p>

38 <p>The side length is given as √(3/8).</p>

37 <p>The side length is given as √(3/8).</p>

39 <p>Area of the square = (√(3/8))^2</p>

38 <p>Area of the square = (√(3/8))^2</p>

40 <p>= 3/8</p>

39 <p>= 3/8</p>

41 <p>= 0.375</p>

40 <p>= 0.375</p>

42 <p>Therefore, the area of the square box is 0.375 square units.</p>

41 <p>Therefore, the area of the square box is 0.375 square units.</p>

43 <p>Well explained 👍</p>

42 <p>Well explained 👍</p>

44 <h3>Problem 2</h3>

43 <h3>Problem 2</h3>

45 <p>A square-shaped building measuring 3/8 square feet is built; if each of the sides is √(3/8), what will be the square feet of half of the building?</p>

44 <p>A square-shaped building measuring 3/8 square feet is built; if each of the sides is √(3/8), what will be the square feet of half of the building?</p>

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

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

47 <p>0.1875 square feet</p>

46 <p>0.1875 square feet</p>

48 <h3>Explanation</h3>

47 <h3>Explanation</h3>

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

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

50 <p>Dividing 3/8 by 2 = we get 3/16 = 0.1875.</p>

49 <p>Dividing 3/8 by 2 = we get 3/16 = 0.1875.</p>

51 <p>So half of the building measures 0.1875 square feet.</p>

50 <p>So half of the building measures 0.1875 square feet.</p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h3>Problem 3</h3>

52 <h3>Problem 3</h3>

54 <p>Calculate √(3/8) x 5.</p>

53 <p>Calculate √(3/8) x 5.</p>

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

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

56 <p>3.06186</p>

55 <p>3.06186</p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p>First, find the square root of 3/8, which is approximately 0.612372, then multiply it by 5.</p>

57 <p>First, find the square root of 3/8, which is approximately 0.612372, then multiply it by 5.</p>

59 <p>So, 0.612372 x 5 = 3.06186.</p>

58 <p>So, 0.612372 x 5 = 3.06186.</p>

60 <p>Well explained 👍</p>

59 <p>Well explained 👍</p>

61 <h3>Problem 4</h3>

60 <h3>Problem 4</h3>

62 <p>What will be the square root of (3+5/8)?</p>

61 <p>What will be the square root of (3+5/8)?</p>

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

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

64 <p>0.935414</p>

63 <p>0.935414</p>

65 <h3>Explanation</h3>

64 <h3>Explanation</h3>

66 <p>First, find the sum of (3 + 5/8). 3 + 5/8 = 3.625, then find the square root of 3.625, which is approximately 1.903.</p>

65 <p>First, find the sum of (3 + 5/8). 3 + 5/8 = 3.625, then find the square root of 3.625, which is approximately 1.903.</p>

67 <p>Therefore, the square root of (3+5/8) is approximately 1.903.</p>

66 <p>Therefore, the square root of (3+5/8) is approximately 1.903.</p>

68 <p>Well explained 👍</p>

67 <p>Well explained 👍</p>

69 <h3>Problem 5</h3>

68 <h3>Problem 5</h3>

70 <p>Find the perimeter of the rectangle if its length ‘l’ is √(3/8) units and the width ‘w’ is 4 units.</p>

69 <p>Find the perimeter of the rectangle if its length ‘l’ is √(3/8) units and the width ‘w’ is 4 units.</p>

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

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

72 <p>We find the perimeter of the rectangle as 9.224744 units.</p>

71 <p>We find the perimeter of the rectangle as 9.224744 units.</p>

73 <h3>Explanation</h3>

72 <h3>Explanation</h3>

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

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

75 <p>Perimeter = 2 × (√(3/8) + 4)</p>

74 <p>Perimeter = 2 × (√(3/8) + 4)</p>

76 <p>= 2 × (0.612372 + 4)</p>

75 <p>= 2 × (0.612372 + 4)</p>

77 <p>= 2 × 4.612372</p>

76 <p>= 2 × 4.612372</p>

78 <p>= 9.224744 units.</p>

77 <p>= 9.224744 units.</p>

79 <p>Well explained 👍</p>

78 <p>Well explained 👍</p>

80 <h2>FAQ on Square Root of 3/8</h2>

79 <h2>FAQ on Square Root of 3/8</h2>

81 <h3>1.What is √(3/8) in its simplest form?</h3>

80 <h3>1.What is √(3/8) in its simplest form?</h3>

82 <h3>2.Calculate the square of 3/8.</h3>

81 <h3>2.Calculate the square of 3/8.</h3>

83 <p>We get the square of 3/8 by multiplying the number by itself, that is (3/8) x (3/8) = 9/64.</p>

82 <p>We get the square of 3/8 by multiplying the number by itself, that is (3/8) x (3/8) = 9/64.</p>

84 <h3>3.Is 3/8 a perfect square?</h3>

83 <h3>3.Is 3/8 a perfect square?</h3>

85 <p>3/8 is not a perfect square because it cannot be expressed as the square of a<a>rational number</a>.</p>

84 <p>3/8 is not a perfect square because it cannot be expressed as the square of a<a>rational number</a>.</p>

86 <h3>4.How do you convert 3/8 into decimal form?</h3>

85 <h3>4.How do you convert 3/8 into decimal form?</h3>

87 <p>To convert 3/8 into decimal form, divide 3 by 8 to get 0.375.</p>

86 <p>To convert 3/8 into decimal form, divide 3 by 8 to get 0.375.</p>

88 <h3>5.What is the reciprocal of 3/8?</h3>

87 <h3>5.What is the reciprocal of 3/8?</h3>

89 <p>The reciprocal of 3/8 is 8/3.</p>

88 <p>The reciprocal of 3/8 is 8/3.</p>

90 <h2>Important Glossaries for the Square Root of 3/8</h2>

89 <h2>Important Glossaries for the Square Root of 3/8</h2>

91 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. For example, 4^2 = 16 and the inverse of the square is the square root, so √16 = 4. </li>

90 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. For example, 4^2 = 16 and the inverse of the square is the square root, so √16 = 4. </li>

92 <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>

91 <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>

93 <li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals. </li>

92 <li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, it is called a decimal. For example, 7.86, 8.65, and 9.42 are decimals. </li>

94 <li><strong>Rationalize:</strong>Rationalizing is the process of eliminating the square root or cube root from the denominator of a fraction. </li>

93 <li><strong>Rationalize:</strong>Rationalizing is the process of eliminating the square root or cube root from the denominator of a fraction. </li>

95 <li><strong>Fraction:</strong>A fraction represents a part of a whole and is expressed as a ratio of two numbers, such as 3/8.</li>

94 <li><strong>Fraction:</strong>A fraction represents a part of a whole and is expressed as a ratio of two numbers, such as 3/8.</li>

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

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

97 <p>▶</p>

96 <p>▶</p>

98 <h2>Jaskaran Singh Saluja</h2>

97 <h2>Jaskaran Singh Saluja</h2>

99 <h3>About the Author</h3>

98 <h3>About the Author</h3>

100 <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>

99 <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 <h3>Fun Fact</h3>

100 <h3>Fun Fact</h3>

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

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