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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 the field of vehicle design, finance, etc. Here, we will discuss the square root of 0.0025</p>

4 <h2>What is the Square Root of 0.0025?</h2>

5 <p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 0.0025 is a<a>perfect square</a>. The square root of 0.0025 is expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √0.0025, whereas (0.0025)^(1/2) in exponential form. √0.0025 = 0.05, 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 0.0025</h2>

7 <p>The<a>prime factorization</a>method is used for perfect square numbers. In the case of non-perfect squares, other methods like the long-<a>division</a>method and approximation method are used. 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><h2>Square Root of 0.0025 by Prime Factorization Method</h2>

12 <p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 0.0025 is broken down into its prime factors:</p>

13 <p><strong>Step 1:</strong>Convert 0.0025 into a<a>fraction</a>, which is 25/10000.</p>

14 <p><strong>Step 2:</strong>Find the prime factors of 25 and 10000: 25 = 5 × 5 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5</p>

15 <p><strong>Step 3:</strong>Simplify the fraction by canceling out common prime factors: (5 × 5) / (2 × 2 × 2 × 2 × 5 × 5 × 5 × 5)</p>

16 <p><strong>Step 4:</strong>The<a>square root</a>of 0.0025 is 0.05, as the prime factors align perfectly to form a perfect square.</p>

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19 <h2>Square Root of 0.0025 by Long Division Method</h2>

18 <h2>Square Root of 0.0025 by Long Division Method</h2>

20 <p>The<a>long division</a>method is particularly used for non-perfect square numbers. However, it can also be used for perfect squares to verify results. Let us now learn how to find the square root using the long division method, step by step:</p>

19 <p>The<a>long division</a>method is particularly used for non-perfect square numbers. However, it can also be used for perfect squares to verify results. Let us now learn how to find the square root using the long division method, step by step:</p>

21 <p><strong>Step 1:</strong>Pair the<a>decimal</a>digits from left to right. The number 0.0025 is paired as 25 and 00.</p>

20 <p><strong>Step 1:</strong>Pair the<a>decimal</a>digits from left to right. The number 0.0025 is paired as 25 and 00.</p>

22 <p><strong>Step 2:</strong>Find a number whose square is<a>less than</a>or equal to 25, which is 5, because 5 × 5 = 25.</p>

21 <p><strong>Step 2:</strong>Find a number whose square is<a>less than</a>or equal to 25, which is 5, because 5 × 5 = 25.</p>

23 <p><strong>Step 3:</strong>The<a>quotient</a>is 0.05, with a<a>remainder</a>of 0.</p>

22 <p><strong>Step 3:</strong>The<a>quotient</a>is 0.05, with a<a>remainder</a>of 0.</p>

24 <p><strong>Step 4:</strong>Since we have no remaining digits, the square root of 0.0025 is 0.05.</p>

23 <p><strong>Step 4:</strong>Since we have no remaining digits, the square root of 0.0025 is 0.05.</p>

25 <h2>Square Root of 0.0025 by Approximation Method</h2>

24 <h2>Square Root of 0.0025 by Approximation Method</h2>

26 <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 0.0025 using the approximation method.</p>

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 0.0025 using the approximation method.</p>

27 <p><strong>Step 1:</strong>Identify the closest perfect squares around 0.0025. 0.0001 (√0.0001 = 0.01) and 0.01 (√0.01 = 0.1)</p>

26 <p><strong>Step 1:</strong>Identify the closest perfect squares around 0.0025. 0.0001 (√0.0001 = 0.01) and 0.01 (√0.01 = 0.1)</p>

28 <p><strong>Step 2:</strong>Apply the approximation<a>formula</a>: (0.0025 - 0.0001) / (0.01 - 0.0001) = 0.25</p>

27 <p><strong>Step 2:</strong>Apply the approximation<a>formula</a>: (0.0025 - 0.0001) / (0.01 - 0.0001) = 0.25</p>

29 <p><strong>Step 3:</strong>Adding the initial value to the approximation gives 0.01 + 0.04 = 0.05.</p>

28 <p><strong>Step 3:</strong>Adding the initial value to the approximation gives 0.01 + 0.04 = 0.05.</p>

30 <p>So the square root of 0.0025 is 0.05.</p>

29 <p>So the square root of 0.0025 is 0.05.</p>

31 <h2>Common Mistakes and How to Avoid Them in the Square Root of 0.0025</h2>

30 <h2>Common Mistakes and How to Avoid Them in the Square Root of 0.0025</h2>

32 <p>Students do make mistakes while finding the square root, like forgetting about the negative square root or skipping long division methods. Now let us look at a few of those mistakes that students tend to make in detail.</p>

31 <p>Students do make mistakes while finding the square root, like forgetting about the negative square root or skipping long division methods. Now let us look at a few of those mistakes that students tend to make in detail.</p>

33 <h3>Problem 1</h3>

32 <h3>Problem 1</h3>

34 <p>Can you help Max find the area of a square box if its side length is given as √0.0025?</p>

33 <p>Can you help Max find the area of a square box if its side length is given as √0.0025?</p>

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

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

36 <p>The area of the square is 0.0025 square units.</p>

35 <p>The area of the square is 0.0025 square units.</p>

37 <h3>Explanation</h3>

36 <h3>Explanation</h3>

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

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

39 <p>The side length is given as √0.0025.</p>

38 <p>The side length is given as √0.0025.</p>

40 <p>Area of the square = side²</p>

39 <p>Area of the square = side²</p>

41 <p>= √0.0025 × √0.0025</p>

40 <p>= √0.0025 × √0.0025</p>

42 <p>= 0.05 × 0.05</p>

41 <p>= 0.05 × 0.05</p>

43 <p>= 0.0025</p>

42 <p>= 0.0025</p>

44 <p>Therefore, the area of the square box is 0.0025 square units.</p>

43 <p>Therefore, the area of the square box is 0.0025 square units.</p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

45 <h3>Problem 2</h3>

47 <p>A square-shaped plot measuring 0.0025 acres is built; if each of the sides is √0.0025, what will be the area of half of the plot?</p>

46 <p>A square-shaped plot measuring 0.0025 acres is built; if each of the sides is √0.0025, what will be the area of half of the plot?</p>

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

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

49 <p>0.00125 acres</p>

48 <p>0.00125 acres</p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

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

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

52 <p>Dividing 0.0025 by 2, we get 0.00125.</p>

51 <p>Dividing 0.0025 by 2, we get 0.00125.</p>

53 <p>So half of the plot measures 0.00125 acres.</p>

52 <p>So half of the plot measures 0.00125 acres.</p>

54 <p>Well explained 👍</p>

53 <p>Well explained 👍</p>

55 <h3>Problem 3</h3>

54 <h3>Problem 3</h3>

56 <p>Calculate √0.0025 × 50.</p>

55 <p>Calculate √0.0025 × 50.</p>

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

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

58 <p>2.5</p>

57 <p>2.5</p>

59 <h3>Explanation</h3>

58 <h3>Explanation</h3>

60 <p>The first step is to find the square root of 0.0025, which is 0.05.</p>

59 <p>The first step is to find the square root of 0.0025, which is 0.05.</p>

61 <p>The second step is to multiply 0.05 with 50. So 0.05 × 50 = 2.5</p>

60 <p>The second step is to multiply 0.05 with 50. So 0.05 × 50 = 2.5</p>

62 <p>Well explained 👍</p>

61 <p>Well explained 👍</p>

63 <h3>Problem 4</h3>

62 <h3>Problem 4</h3>

64 <p>What will be the square root of (0.0009 + 0.0016)?</p>

63 <p>What will be the square root of (0.0009 + 0.0016)?</p>

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

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

66 <p>The square root is 0.05</p>

65 <p>The square root is 0.05</p>

67 <h3>Explanation</h3>

66 <h3>Explanation</h3>

68 <p>To find the square root, we need to find the sum of (0.0009 + 0.0016).</p>

67 <p>To find the square root, we need to find the sum of (0.0009 + 0.0016).</p>

69 <p>0.0009 + 0.0016 = 0.0025, and then √0.0025 = 0.05.</p>

68 <p>0.0009 + 0.0016 = 0.0025, and then √0.0025 = 0.05.</p>

70 <p>Therefore, the square root of (0.0009 + 0.0016) is ±0.05.</p>

69 <p>Therefore, the square root of (0.0009 + 0.0016) is ±0.05.</p>

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h3>Problem 5</h3>

71 <h3>Problem 5</h3>

73 <p>Find the perimeter of the rectangle if its length ‘l’ is √0.0025 units and the width ‘w’ is 0.1 units.</p>

72 <p>Find the perimeter of the rectangle if its length ‘l’ is √0.0025 units and the width ‘w’ is 0.1 units.</p>

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

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

75 <p>We find the perimeter of the rectangle as 0.3 units.</p>

74 <p>We find the perimeter of the rectangle as 0.3 units.</p>

76 <h3>Explanation</h3>

75 <h3>Explanation</h3>

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

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

78 <p>= 2 × (√0.0025 + 0.1)</p>

77 <p>= 2 × (√0.0025 + 0.1)</p>

79 <p>= 2 × (0.05 + 0.1)</p>

78 <p>= 2 × (0.05 + 0.1)</p>

80 <p>= 2 × 0.15</p>

79 <p>= 2 × 0.15</p>

81 <p>= 0.3 units.</p>

80 <p>= 0.3 units.</p>

82 <p>Well explained 👍</p>

81 <p>Well explained 👍</p>

83 <h2>FAQ on Square Root of 0.0025</h2>

82 <h2>FAQ on Square Root of 0.0025</h2>

84 <h3>1.What is √0.0025 in its simplest form?</h3>

83 <h3>1.What is √0.0025 in its simplest form?</h3>

85 <p>The simplest form of √0.0025 is 0.05, as 0.0025 is a perfect square of 0.05.</p>

84 <p>The simplest form of √0.0025 is 0.05, as 0.0025 is a perfect square of 0.05.</p>

86 <h3>2.What are the factors of 0.0025?</h3>

85 <h3>2.What are the factors of 0.0025?</h3>

87 <p>Factors of 0.0025 are 1, 0.05, and 0.0025.</p>

86 <p>Factors of 0.0025 are 1, 0.05, and 0.0025.</p>

88 <h3>3.Calculate the square of 0.0025.</h3>

87 <h3>3.Calculate the square of 0.0025.</h3>

89 <p>We get the square of 0.0025 by multiplying the number by itself, that is 0.0025 × 0.0025 = 0.00000625.</p>

88 <p>We get the square of 0.0025 by multiplying the number by itself, that is 0.0025 × 0.0025 = 0.00000625.</p>

90 <h3>4.Is 0.0025 a rational number?</h3>

89 <h3>4.Is 0.0025 a rational number?</h3>

91 <p>Yes, 0.0025 is a rational number as it can be expressed as a fraction 25/10000.</p>

90 <p>Yes, 0.0025 is a rational number as it can be expressed as a fraction 25/10000.</p>

92 <h3>5.Is 0.0025 a perfect square?</h3>

91 <h3>5.Is 0.0025 a perfect square?</h3>

93 <p>Yes, 0.0025 is a perfect square, and its square root is 0.05.</p>

92 <p>Yes, 0.0025 is a perfect square, and its square root is 0.05.</p>

94 <h2>Important Glossaries for the Square Root of 0.0025</h2>

93 <h2>Important Glossaries for the Square Root of 0.0025</h2>

95 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 0.05² = 0.0025 and the inverse of the square is the square root, that is √0.0025 = 0.05. </li>

94 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 0.05² = 0.0025 and the inverse of the square is the square root, that is √0.0025 = 0.05. </li>

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

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

97 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer or a fraction. Example: 0.05² = 0.0025. </li>

96 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer or a fraction. Example: 0.05² = 0.0025. </li>

98 <li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 0.05, 0.25, and 0.125 are decimals. </li>

97 <li><strong>Decimal:</strong>If a number has a whole number and a fraction in a single number, then it is called a decimal. For example, 0.05, 0.25, and 0.125 are decimals. </li>

99 <li><strong>Fraction:</strong>A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator and the denominator. For example, 25/10000 is a fraction.</li>

98 <li><strong>Fraction:</strong>A fraction represents a part of a whole and is expressed as a ratio of two numbers, the numerator and the denominator. For example, 25/10000 is a fraction.</li>

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

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

101 <p>▶</p>

100 <p>▶</p>

102 <h2>Jaskaran Singh Saluja</h2>

101 <h2>Jaskaran Singh Saluja</h2>

103 <h3>About the Author</h3>

102 <h3>About the Author</h3>

104 <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>

103 <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>

105 <h3>Fun Fact</h3>

104 <h3>Fun Fact</h3>

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

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