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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 2025.</p>

4 <h2>What is the Square Root of 2025?</h2>

5 <p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 2025 is a<a>perfect square</a>. The square root of 2025 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √2025, whereas in exponential form it is expressed as (2025)^(1/2). √2025 = 45, 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 2025</h2>

7 <p>The<a>prime factorization</a>method is used for perfect square numbers. Let us now learn the following methods:</p>

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

9 <li>Long<a>division</a>method</li>

10 <li>Approximation method</li>

11 </ul><h2>Square Root of 2025 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 2025 is broken down into its prime factors.</p>

13 <p><strong>Step 1:</strong>Finding the prime factors of 2025</p>

14 <p>Breaking it down, we get 3 x 3 x 3 x 3 x 5 x 5:<a>3^4</a>x 5^2</p>

15 <p><strong>Step 2:</strong>Now we found out the prime factors of 2025. The second step is to make pairs of those prime factors. Since 2025 is a perfect square, the digits of the number can be grouped in pairs. Therefore, calculating √2025 using prime factorization gives us 3^2 x 5 = 45.</p>

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18 <h2>Square Root of 2025 by Long Division Method</h2>

17 <h2>Square Root of 2025 by Long Division Method</h2>

19 <p>The<a>long division</a>method is particularly used for both perfect and non-perfect square numbers. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>

18 <p>The<a>long division</a>method is particularly used for both perfect and non-perfect square numbers. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>

20 <p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 2025, we need to group it as 25 and 20.</p>

19 <p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 2025, we need to group it as 25 and 20.</p>

21 <p><strong>Step 2:</strong>Now we need to find n whose square is 20. We can say n is ‘4’ because 4 x 4 = 16 is lesser than or equal to 20. Now the<a>quotient</a>is 4, and the<a>remainder</a>is 4 after subtracting 16 from 20.</p>

20 <p><strong>Step 2:</strong>Now we need to find n whose square is 20. We can say n is ‘4’ because 4 x 4 = 16 is lesser than or equal to 20. Now the<a>quotient</a>is 4, and the<a>remainder</a>is 4 after subtracting 16 from 20.</p>

22 <p><strong>Step 3:</strong>Now let us bring down 25, making the new<a>dividend</a>425. Add the old<a>divisor</a>with the same number, 4 + 4, we get 8, which will be our new divisor.</p>

21 <p><strong>Step 3:</strong>Now let us bring down 25, making the new<a>dividend</a>425. Add the old<a>divisor</a>with the same number, 4 + 4, we get 8, which will be our new divisor.</p>

23 <p><strong>Step 4:</strong>The new divisor will be 8x, and we need to find the value of x such that 8x x x ≤ 425. Considering x as 5, 85 x 5 = 425.</p>

22 <p><strong>Step 4:</strong>The new divisor will be 8x, and we need to find the value of x such that 8x x x ≤ 425. Considering x as 5, 85 x 5 = 425.</p>

24 <p><strong>Step 5:</strong>Subtract 425 from 425, and the remainder is 0. Now the quotient is 45.</p>

23 <p><strong>Step 5:</strong>Subtract 425 from 425, and the remainder is 0. Now the quotient is 45.</p>

25 <p>So the square root of √2025 is 45.</p>

24 <p>So the square root of √2025 is 45.</p>

26 <h2>Square Root of 2025 by Approximation Method</h2>

25 <h2>Square Root of 2025 by Approximation Method</h2>

27 <p>The approximation method is another method for finding square roots. 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 2025 using the approximation method.</p>

26 <p>The approximation method is another method for finding square roots. 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 2025 using the approximation method.</p>

28 <p><strong>Step 1:</strong>Now we have to find the closest perfect square of √2025. The closest perfect squares around 2025 are 2025 itself. √2025 is exactly 45.</p>

27 <p><strong>Step 1:</strong>Now we have to find the closest perfect square of √2025. The closest perfect squares around 2025 are 2025 itself. √2025 is exactly 45.</p>

29 <p>Therefore, the square root of 2025 is 45.</p>

28 <p>Therefore, the square root of 2025 is 45.</p>

30 <h2>Common Mistakes and How to Avoid Them in the Square Root of 2025</h2>

29 <h2>Common Mistakes and How to Avoid Them in the Square Root of 2025</h2>

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

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

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32 <h3>Problem 1</h3>

33 <p>Can you help Max find the perimeter of a square box if its side length is given as √2025?</p>

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

35 <p>The perimeter of the square is 180 units.</p>

36 <h3>Explanation</h3>

37 <p>The perimeter of the square is 4 times the side length.</p>

38 <p>The side length is given as √2025.</p>

39 <p>Perimeter = 4 x √2025 = 4 x 45 = 180 units.</p>

40 <p>Therefore, the perimeter of the square box is 180 units.</p>

41 <p>Well explained 👍</p>

42 <h3>Problem 2</h3>

43 <p>A square-shaped building measures 2025 square feet in area. If each of the sides is √2025, what will be the square footage of half of the building?</p>

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

45 <p>1012.5 square feet</p>

46 <h3>Explanation</h3>

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

48 <p>Dividing 2025 by 2, we get 1012.5.</p>

49 <p>So, half of the building measures 1012.5 square feet.</p>

50 <p>Well explained 👍</p>

51 <h3>Problem 3</h3>

52 <p>Calculate √2025 x 5.</p>

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

54 <p>225</p>

55 <h3>Explanation</h3>

56 <p>The first step is to find the square root of 2025, which is 45.</p>

57 <p>The second step is to multiply 45 by 5.</p>

58 <p>So, 45 x 5 = 225.</p>

59 <p>Well explained 👍</p>

60 <h3>Problem 4</h3>

61 <p>What will be the square root of (2025 + 0)?</p>

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

63 <p>The square root is 45.</p>

64 <h3>Explanation</h3>

65 <p>To find the square root, we need to find the sum of (2025 + 0), which is 2025, and then √2025 = 45.</p>

66 <p>Therefore, the square root of (2025 + 0) is ±45.</p>

67 <p>Well explained 👍</p>

68 <h3>Problem 5</h3>

69 <p>Find the area of a rectangle if its length ‘l’ is √2025 units and the width ‘w’ is 50 units.</p>

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

71 <p>The area of the rectangle is 2250 square units.</p>

72 <h3>Explanation</h3>

73 <p>Area of the rectangle = length x width</p>

74 <p>Area = √2025 x 50 = 45 x 50 = 2250 square units.</p>

75 <p>Well explained 👍</p>

76 <h2>FAQ on Square Root of 2025</h2>

77 <h3>1.What is √2025 in its simplest form?</h3>

78 <p>The prime factorization of 2025 is 3 x 3 x 3 x 3 x 5 x 5, so the simplest form of √2025 = √(3^4 x 5^2) = 3^2 x 5 = 45.</p>

79 <h3>2.Mention the factors of 2025.</h3>

80 <p>Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, and 2025.</p>

81 <h3>3.Calculate the square of 2025.</h3>

82 <p>We get the square of 2025 by multiplying the number by itself, that is 2025 x 2025 = 4100625.</p>

83 <h3>4.Is 2025 a prime number?</h3>

84 <p>2025 is not a<a>prime number</a>, as it has more than two factors.</p>

85 <h3>5.2025 is divisible by?</h3>

86 <p>2025 has many factors; those are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, and 2025.</p>

87 <h2>Important Glossaries for the Square Root of 2025</h2>

88 <ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 6^2=36, and the inverse of the square is the square root, that is √36=6. </li>

89 <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>

90 <li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. Example: 2025 is a perfect square because it is 45^2. </li>

91 <li><strong>Prime factorization:</strong>Prime factorization is expressing a number as the product of its prime factors. </li>

92 <li><strong>Divisor:</strong>A divisor is a number by which another number is divided. For example, in 45 ÷ 5 = 9, the divisor is 5.</li>

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

94 <p>▶</p>

95 <h2>Jaskaran Singh Saluja</h2>

96 <h3>About the Author</h3>

97 <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>

98 <h3>Fun Fact</h3>

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