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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 fields such as vehicle design, finance, etc. Here, we will discuss the square root of 25/4.</p>

4 <h2>What is the Square Root of 25/4?</h2>

5 <p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 25/4 is a<a>perfect square</a>. The square root of 25/4 can be expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(25/4), whereas (25/4)^(1/2) in the exponential form. √(25/4) = 5/2 = 2.5, 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>

6 <h2>Finding the Square Root of 25/4</h2>

7 <p>The<a>prime factorization</a>method and direct calculation can be used for perfect square numbers. Since 25/4 is a perfect square, we can directly calculate its<a>square root</a>. Let us now learn the following method:</p>

8 <ul><li>Direct Calculation Method</li>

9 </ul><h2>Square Root of 25/4 by Direct Calculation Method</h2>

10 <p>Since 25/4 is a<a>fraction</a>, we can find its square root by finding the square root of the<a>numerator</a>and the<a>denominator</a>separately.</p>

11 <p><strong>Step 1:</strong>Find the square root of the numerator, which is 25. The square root of 25 is 5.</p>

12 <p><strong>Step 2:</strong>Find the square root of the denominator, which is 4. The square root of 4 is 2.</p>

13 <p><strong>Step 3:</strong>Combine the square roots to form a fraction.</p>

14 <p>Therefore, the square root of 25/4 is 5/2, which is equal to 2.5.</p>

15 <h3>Explore Our Programs</h3>

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17 <h2>Common Mistakes and How to Avoid Them in the Square Root of 25/4</h2>

16 <h2>Common Mistakes and How to Avoid Them in the Square Root of 25/4</h2>

18 <p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying the fraction properly. Let us look at a few of these mistakes in detail.</p>

17 <p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying the fraction properly. Let us look at a few of these mistakes in detail.</p>

19 <h2>Common Mistakes and How to Avoid Them in the Square Root of 25/4</h2>

18 <h2>Common Mistakes and How to Avoid Them in the Square Root of 25/4</h2>

20 <p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying fractions properly. Let us look at a few of these mistakes in detail.</p>

19 <p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying fractions properly. Let us look at a few of these mistakes in detail.</p>

21 <h3>Problem 1</h3>

20 <h3>Problem 1</h3>

22 <p>Can you help Max find the area of a square box if its side length is given as √(25/4)?</p>

21 <p>Can you help Max find the area of a square box if its side length is given as √(25/4)?</p>

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

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

24 <p>The area of the square is 6.25 square units.</p>

23 <p>The area of the square is 6.25 square units.</p>

25 <h3>Explanation</h3>

24 <h3>Explanation</h3>

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

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

27 <p>The side length is given as √(25/4) = 5/2 = 2.5.</p>

26 <p>The side length is given as √(25/4) = 5/2 = 2.5.</p>

28 <p>Area of the square = side²</p>

27 <p>Area of the square = side²</p>

29 <p>= 2.5 × 2.5</p>

28 <p>= 2.5 × 2.5</p>

30 <p>= 6.25.</p>

29 <p>= 6.25.</p>

31 <p>Therefore, the area of the square box is 6.25 square units.</p>

30 <p>Therefore, the area of the square box is 6.25 square units.</p>

32 <p>Well explained 👍</p>

31 <p>Well explained 👍</p>

33 <h3>Problem 2</h3>

32 <h3>Problem 2</h3>

34 <p>A square-shaped garden measuring 25/4 square meters is built; if each of the sides is √(25/4), what will be the square meters of half of the garden?</p>

33 <p>A square-shaped garden measuring 25/4 square meters is built; if each of the sides is √(25/4), what will be the square meters of half of the garden?</p>

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

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

36 <p>3.125 square meters</p>

35 <p>3.125 square meters</p>

37 <h3>Explanation</h3>

36 <h3>Explanation</h3>

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

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

39 <p>Dividing 25/4 by 2 = (25/4) / 2 = 25/8 = 3.125.</p>

38 <p>Dividing 25/4 by 2 = (25/4) / 2 = 25/8 = 3.125.</p>

40 <p>So half of the garden measures 3.125 square meters.</p>

39 <p>So half of the garden measures 3.125 square meters.</p>

41 <p>Well explained 👍</p>

40 <p>Well explained 👍</p>

42 <h3>Problem 3</h3>

41 <h3>Problem 3</h3>

43 <p>Calculate √(25/4) × 5.</p>

42 <p>Calculate √(25/4) × 5.</p>

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

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

45 <p>12.5</p>

44 <p>12.5</p>

46 <h3>Explanation</h3>

45 <h3>Explanation</h3>

47 <p>The first step is to find the square root of 25/4, which is 2.5. The second step is to multiply 2.5 by 5. So, 2.5 × 5 = 12.5.</p>

46 <p>The first step is to find the square root of 25/4, which is 2.5. The second step is to multiply 2.5 by 5. So, 2.5 × 5 = 12.5.</p>

48 <p>Well explained 👍</p>

47 <p>Well explained 👍</p>

49 <h3>Problem 4</h3>

48 <h3>Problem 4</h3>

50 <p>What will be the square root of (25/4 + 0)?</p>

49 <p>What will be the square root of (25/4 + 0)?</p>

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

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

52 <p>The square root is 2.5</p>

51 <p>The square root is 2.5</p>

53 <h3>Explanation</h3>

52 <h3>Explanation</h3>

54 <p>To find the square root, we need to determine the sum of (25/4 + 0). 25/4 + 0 = 25/4, and then √(25/4) = 2.5.</p>

53 <p>To find the square root, we need to determine the sum of (25/4 + 0). 25/4 + 0 = 25/4, and then √(25/4) = 2.5.</p>

55 <p>Therefore, the square root of (25/4 + 0) is ±2.5.</p>

54 <p>Therefore, the square root of (25/4 + 0) is ±2.5.</p>

56 <p>Well explained 👍</p>

55 <p>Well explained 👍</p>

57 <h3>Problem 5</h3>

56 <h3>Problem 5</h3>

58 <p>Find the perimeter of the rectangle if its length ‘l’ is √(25/4) units and the width ‘w’ is 4 units.</p>

57 <p>Find the perimeter of the rectangle if its length ‘l’ is √(25/4) units and the width ‘w’ is 4 units.</p>

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

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

60 <p>We find the perimeter of the rectangle as 13 units.</p>

59 <p>We find the perimeter of the rectangle as 13 units.</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

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

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

63 <p>Perimeter = 2 × (2.5 + 4)</p>

62 <p>Perimeter = 2 × (2.5 + 4)</p>

64 <p>= 2 × 6.5</p>

63 <p>= 2 × 6.5</p>

65 <p>= 13 units.</p>

64 <p>= 13 units.</p>

66 <p>Well explained 👍</p>

65 <p>Well explained 👍</p>

67 <h2>FAQ on Square Root of 25/4</h2>

66 <h2>FAQ on Square Root of 25/4</h2>

68 <h3>1.What is √(25/4) in its simplest form?</h3>

67 <h3>1.What is √(25/4) in its simplest form?</h3>

69 <p>The simplest form of √(25/4) is 5/2, which can also be written as 2.5.</p>

68 <p>The simplest form of √(25/4) is 5/2, which can also be written as 2.5.</p>

70 <h3>2.Mention the factors of 25/4.</h3>

69 <h3>2.Mention the factors of 25/4.</h3>

71 <p>The<a>factors</a>of 25/4 in its simplest form are 5 and 2.</p>

70 <p>The<a>factors</a>of 25/4 in its simplest form are 5 and 2.</p>

72 <h3>3.Calculate the square of 25/4.</h3>

71 <h3>3.Calculate the square of 25/4.</h3>

73 <p>We get the square of 25/4 by multiplying the number by itself, that is (25/4) × (25/4) = 625/16 = 39.0625.</p>

72 <p>We get the square of 25/4 by multiplying the number by itself, that is (25/4) × (25/4) = 625/16 = 39.0625.</p>

74 <h3>4.Is 25/4 a rational number?</h3>

73 <h3>4.Is 25/4 a rational number?</h3>

75 <p>Yes, 25/4 is a rational number because it can be expressed as the<a>quotient</a>of two integers.</p>

74 <p>Yes, 25/4 is a rational number because it can be expressed as the<a>quotient</a>of two integers.</p>

76 <h3>5.Is 25/4 a perfect square?</h3>

75 <h3>5.Is 25/4 a perfect square?</h3>

77 <p>Yes, 25/4 is a perfect square because both 25 and 4 are perfect squares, and their square roots are integers.</p>

76 <p>Yes, 25/4 is a perfect square because both 25 and 4 are perfect squares, and their square roots are integers.</p>

78 <h2>Important Glossaries for the Square Root of 25/4</h2>

77 <h2>Important Glossaries for the Square Root of 25/4</h2>

79 <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>

78 <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>

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

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

81 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 25 and 4 are perfect squares because they are squares of 5 and 2, respectively.</li>

80 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 25 and 4 are perfect squares because they are squares of 5 and 2, respectively.</li>

82 <li><strong>Fraction:</strong>A fraction represents a part of a whole or, more generally, any number of equal parts. It is expressed as the quotient of two numbers, the numerator over the denominator. </li>

81 <li><strong>Fraction:</strong>A fraction represents a part of a whole or, more generally, any number of equal parts. It is expressed as the quotient of two numbers, the numerator over the denominator. </li>

83 <li><strong>Principal square root:</strong>A number has both positive and negative square roots; however, it is usually the positive square root that is used in real-world applications. This is known as the principal square root.</li>

82 <li><strong>Principal square root:</strong>A number has both positive and negative square roots; however, it is usually the positive square root that is used in real-world applications. This is known as the principal square root.</li>

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

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

85 <p>▶</p>

84 <p>▶</p>

86 <h2>Jaskaran Singh Saluja</h2>

85 <h2>Jaskaran Singh Saluja</h2>

87 <h3>About the Author</h3>

86 <h3>About the Author</h3>

88 <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>

87 <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>

89 <h3>Fun Fact</h3>

88 <h3>Fun Fact</h3>

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

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