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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 1/25.</p>

4 <h2>What is the Square Root of 1/25?</h2>

5 <p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 1/25 is a<a>perfect square</a>. The square root of 1/25 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √(1/25), whereas (1/25)^(1/2) in exponential form. √(1/25) = 1/5, 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 1/25</h2>

7 <p>The<a>prime factorization</a>method is used for perfect square numbers. Since 1/25 is a perfect square, we can use the prime factorization method. Alternatively, the<a>long division</a>method and approximation method are also suitable for verification. Let us now learn the following methods:</p>

8 <ul><li>Prime factorization method </li>

9 <li>Long division method</li>

10 <li>Approximation method</li>

11 </ul><h3>Square Root of 1/25 by Prime Factorization Method</h3>

12 <p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 25 is broken down into its prime factors:</p>

13 <p><strong>Step 1:</strong>Finding the prime factors of 25 Breaking it down, we get 5 x 5: 5²</p>

14 <p><strong>Step 2:</strong>Since 1 is already a perfect square (1²), the prime factorization of 1/25 is 1/(5²).</p>

15 <p><strong>Step 3:</strong>Taking the<a>square root</a>of 1/25 gives us 1/5.</p>

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18 <h3>Square Root of 1/25 by Long Division Method</h3>

17 <h3>Square Root of 1/25 by Long Division Method</h3>

19 <p>The long<a>division</a>method is another method that can be used for perfect square numbers. Here is how you find the square root of 1/25 using long division:</p>

18 <p>The long<a>division</a>method is another method that can be used for perfect square numbers. Here is how you find the square root of 1/25 using long division:</p>

20 <p><strong>Step 1:</strong>Express 1/25 as a<a>decimal</a>, which is 0.04.</p>

19 <p><strong>Step 1:</strong>Express 1/25 as a<a>decimal</a>, which is 0.04.</p>

21 <p><strong>Step 2:</strong>Group the digits of 0.04 as 00 and 04.</p>

20 <p><strong>Step 2:</strong>Group the digits of 0.04 as 00 and 04.</p>

22 <p><strong>Step 3:</strong>Find a number whose square is closest to 0.04. Here, 0.2 x 0.2 = 0.04.</p>

21 <p><strong>Step 3:</strong>Find a number whose square is closest to 0.04. Here, 0.2 x 0.2 = 0.04.</p>

23 <p><strong>Step 4:</strong>Therefore, the square root of 0.04 is 0.2, which equals 1/5.</p>

22 <p><strong>Step 4:</strong>Therefore, the square root of 0.04 is 0.2, which equals 1/5.</p>

24 <h3>Square Root of 1/25 by Approximation Method</h3>

23 <h3>Square Root of 1/25 by Approximation Method</h3>

25 <p>The approximation method is another method for finding square roots. It's an easy method to understand the square root of a given number. Let's learn how to find the square root of 1/25 using the approximation method:</p>

24 <p>The approximation method is another method for finding square roots. It's an easy method to understand the square root of a given number. Let's learn how to find the square root of 1/25 using the approximation method:</p>

26 <p><strong>Step 1:</strong>Approximate 1/25 to the nearest perfect square. The closest perfect square to 0.04 is 0.04 itself.</p>

25 <p><strong>Step 1:</strong>Approximate 1/25 to the nearest perfect square. The closest perfect square to 0.04 is 0.04 itself.</p>

27 <p><strong>Step 2:</strong>The square root of 0.04 is 0.2.</p>

26 <p><strong>Step 2:</strong>The square root of 0.04 is 0.2.</p>

28 <p><strong>Step 3:</strong>Therefore, the square root of 1/25 is 1/5.</p>

27 <p><strong>Step 3:</strong>Therefore, the square root of 1/25 is 1/5.</p>

29 <h2>Common Mistakes and How to Avoid Them in the Square Root of 1/25</h2>

28 <h2>Common Mistakes and How to Avoid Them in the Square Root of 1/25</h2>

30 <p>Students can make mistakes while finding the square root, such as forgetting about the negative square root, skipping steps in methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>

29 <p>Students can make mistakes while finding the square root, such as forgetting about the negative square root, skipping steps in methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>

31 <h3>Problem 1</h3>

30 <h3>Problem 1</h3>

32 <p>Can you help Max find the area of a square box if its side length is given as √(1/25)?</p>

31 <p>Can you help Max find the area of a square box if its side length is given as √(1/25)?</p>

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

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

34 <p>The area of the square is 1/25 square units.</p>

33 <p>The area of the square is 1/25 square units.</p>

35 <h3>Explanation</h3>

34 <h3>Explanation</h3>

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

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

37 <p>The side length is given as √(1/25), which is 1/5.</p>

36 <p>The side length is given as √(1/25), which is 1/5.</p>

38 <p>Area of the square = (1/5)² = 1/25.</p>

37 <p>Area of the square = (1/5)² = 1/25.</p>

39 <p>Therefore, the area of the square box is 1/25 square units.</p>

38 <p>Therefore, the area of the square box is 1/25 square units.</p>

40 <p>Well explained 👍</p>

39 <p>Well explained 👍</p>

41 <h3>Problem 2</h3>

40 <h3>Problem 2</h3>

42 <p>A square-shaped building measuring 1/25 square meters is built; if each of the sides is √(1/25), what will be the square meters of half of the building?</p>

41 <p>A square-shaped building measuring 1/25 square meters is built; if each of the sides is √(1/25), what will be the square meters of half of the building?</p>

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

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

44 <p>1/50 square meters</p>

43 <p>1/50 square meters</p>

45 <h3>Explanation</h3>

44 <h3>Explanation</h3>

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

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

47 <p>Dividing 1/25 by 2 = 1/50.</p>

46 <p>Dividing 1/25 by 2 = 1/50.</p>

48 <p>So, half of the building measures 1/50 square meters.</p>

47 <p>So, half of the building measures 1/50 square meters.</p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>Calculate √(1/25) x 5.</p>

50 <p>Calculate √(1/25) x 5.</p>

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

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

53 <p>1</p>

52 <p>1</p>

54 <h3>Explanation</h3>

53 <h3>Explanation</h3>

55 <p>The first step is to find the square root of 1/25, which is 1/5.</p>

54 <p>The first step is to find the square root of 1/25, which is 1/5.</p>

56 <p>The second step is to multiply 1/5 by 5.</p>

55 <p>The second step is to multiply 1/5 by 5.</p>

57 <p>So, (1/5) x 5 = 1.</p>

56 <p>So, (1/5) x 5 = 1.</p>

58 <p>Well explained 👍</p>

57 <p>Well explained 👍</p>

59 <h3>Problem 4</h3>

58 <h3>Problem 4</h3>

60 <p>What will be the square root of (1/25 + 24/25)?</p>

59 <p>What will be the square root of (1/25 + 24/25)?</p>

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

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

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

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

63 <h3>Explanation</h3>

62 <h3>Explanation</h3>

64 <p>To find the square root, we need to find the sum of (1/25 + 24/25). 1/25 + 24/25 = 25/25 = 1, and then √1 = ±1. Therefore, the square root of (1/25 + 24/25) is ±1.</p>

63 <p>To find the square root, we need to find the sum of (1/25 + 24/25). 1/25 + 24/25 = 25/25 = 1, and then √1 = ±1. Therefore, the square root of (1/25 + 24/25) is ±1.</p>

65 <p>Well explained 👍</p>

64 <p>Well explained 👍</p>

66 <h3>Problem 5</h3>

65 <h3>Problem 5</h3>

67 <p>Find the perimeter of the rectangle if its length ‘l’ is √(1/25) units and the width ‘w’ is 10 units.</p>

66 <p>Find the perimeter of the rectangle if its length ‘l’ is √(1/25) units and the width ‘w’ is 10 units.</p>

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

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

69 <p>The perimeter of the rectangle is 20.4 units.</p>

68 <p>The perimeter of the rectangle is 20.4 units.</p>

70 <h3>Explanation</h3>

69 <h3>Explanation</h3>

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

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

72 <p>Perimeter = 2 × (1/5 + 10) = 2 × (0.2 + 10) = 2 × 10.2 = 20.4 units.</p>

71 <p>Perimeter = 2 × (1/5 + 10) = 2 × (0.2 + 10) = 2 × 10.2 = 20.4 units.</p>

73 <p>Well explained 👍</p>

72 <p>Well explained 👍</p>

74 <h2>FAQ on Square Root of 1/25</h2>

73 <h2>FAQ on Square Root of 1/25</h2>

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

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

76 <p>The prime factorization of 25 is 5 x 5, so the simplest form of √(1/25) is 1/5.</p>

75 <p>The prime factorization of 25 is 5 x 5, so the simplest form of √(1/25) is 1/5.</p>

77 <h3>2.Mention the factors of 25.</h3>

76 <h3>2.Mention the factors of 25.</h3>

78 <p>Factors of 25 are 1, 5, and 25.</p>

77 <p>Factors of 25 are 1, 5, and 25.</p>

79 <h3>3.Calculate the square of 1/5.</h3>

78 <h3>3.Calculate the square of 1/5.</h3>

80 <p>We get the square of 1/5 by multiplying the number by itself, that is (1/5) x (1/5) = 1/25.</p>

79 <p>We get the square of 1/5 by multiplying the number by itself, that is (1/5) x (1/5) = 1/25.</p>

81 <h3>4.Is 1/25 a perfect square?</h3>

80 <h3>4.Is 1/25 a perfect square?</h3>

82 <p>Yes, 1/25 is a perfect square because its square root is a rational number, 1/5.</p>

81 <p>Yes, 1/25 is a perfect square because its square root is a rational number, 1/5.</p>

83 <h3>5.1/25 is divisible by?</h3>

82 <h3>5.1/25 is divisible by?</h3>

84 <p>1/25 is divisible by 1/25, 1/5, and 1.</p>

83 <p>1/25 is divisible by 1/25, 1/5, and 1.</p>

85 <h2>Important Glossaries for the Square Root of 1/25</h2>

84 <h2>Important Glossaries for the Square Root of 1/25</h2>

86 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 5² = 25, and the inverse of the square is the square root, that is, √25 = 5.</li>

85 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 5² = 25, and the inverse of the square is the square root, that is, √25 = 5.</li>

87 </ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. Example: 25 is a perfect square because it is 5².</li>

86 </ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. Example: 25 is a perfect square because it is 5².</li>

88 </ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed in the form of p/q, where q ≠ 0 and p and q are integers.<strong></strong></li>

87 </ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed in the form of p/q, where q ≠ 0 and p and q are integers.<strong></strong></li>

89 </ul><ul><li><strong>Decimal:</strong>A decimal is a number that has a whole number and a fraction in a single number, such as 0.2, 1.5, and 3.75.<strong></strong></li>

88 </ul><ul><li><strong>Decimal:</strong>A decimal is a number that has a whole number and a fraction in a single number, such as 0.2, 1.5, and 3.75.<strong></strong></li>

90 </ul><ul><li><strong>Principal square root:</strong>The principal square root is the positive square root of a number. For example, the principal square root of 25 is 5.</li>

89 </ul><ul><li><strong>Principal square root:</strong>The principal square root is the positive square root of a number. For example, the principal square root of 25 is 5.</li>

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

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

92 <p>▶</p>

91 <p>▶</p>

93 <h2>Jaskaran Singh Saluja</h2>

92 <h2>Jaskaran Singh Saluja</h2>

94 <h3>About the Author</h3>

93 <h3>About the Author</h3>

95 <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>

94 <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>

96 <h3>Fun Fact</h3>

95 <h3>Fun Fact</h3>

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

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