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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 825.</p>

4 <h2>What is the Square of 825</h2>

5 <p>The<a>square</a><a>of</a>a<a>number</a>is the<a>product</a>of the number itself.</p>

6 <p>The square of 825 is 825 × 825.</p>

7 <p>The square of a number can end in any digit.</p>

8 <p>We write it in<a>math</a>as 825², where 825 is the<a>base</a>and 2 is the<a>exponent</a>.</p>

9 <p>The square of a positive and a negative number is always positive.</p>

10 <p>For example, 5² = 25; -5² = 25.</p>

11 <p>The square of 825 is 825 × 825 = 680625.</p>

12 <p>Square of 825 in exponential form: 825²</p>

13 <p>Square of 825 in arithmetic form: 825 × 825</p>

14 <h2>How to Calculate the Value of Square of 825</h2>

15 <p>The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.</p>

16 <ul><li>By Multiplication Method </li>

17 <li>Using a Formula </li>

18 <li>Using a Calculator</li>

19 </ul><h3>By the Multiplication method</h3>

20 <p>In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 825.</p>

21 <p><strong>Step 1:</strong>Identify the number. Here, the number is 825.</p>

22 <p><strong>Step 2:</strong>Multiplying the number by itself, we get, 825 × 825 = 680625.</p>

23 <p>The square of 825 is 680625.</p>

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26 <h3>Using a Formula (a²)</h3>

25 <h3>Using a Formula (a²)</h3>

27 <p>In this method, the<a>formula</a>, a² is used to find the square of the number, where a is the number.</p>

26 <p>In this method, the<a>formula</a>, a² is used to find the square of the number, where a is the number.</p>

28 <p><strong>Step 1:</strong>Understanding the<a>equation</a>Square of a number = a² a² = a × a</p>

27 <p><strong>Step 1:</strong>Understanding the<a>equation</a>Square of a number = a² a² = a × a</p>

29 <p><strong>Step 2:</strong>Identifying the number and substituting the value in the equation.</p>

28 <p><strong>Step 2:</strong>Identifying the number and substituting the value in the equation.</p>

30 <p>Here, ‘a’ is 825</p>

29 <p>Here, ‘a’ is 825</p>

31 <p>So: 825² = 825 × 825 = 680625</p>

30 <p>So: 825² = 825 × 825 = 680625</p>

32 <h3>By Using a Calculator</h3>

31 <h3>By Using a Calculator</h3>

33 <p>Using a<a>calculator</a>to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 825.</p>

32 <p>Using a<a>calculator</a>to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 825.</p>

34 <p><strong>Step 1:</strong>Enter the number in the calculator Enter 825 in the calculator.</p>

33 <p><strong>Step 1:</strong>Enter the number in the calculator Enter 825 in the calculator.</p>

35 <p><strong>Step 2:</strong>Multiply the number by itself using the<a>multiplication</a>button (×) That is 825 × 825</p>

34 <p><strong>Step 2:</strong>Multiply the number by itself using the<a>multiplication</a>button (×) That is 825 × 825</p>

36 <p><strong>Step 3:</strong>Press the equal to button to find the answer</p>

35 <p><strong>Step 3:</strong>Press the equal to button to find the answer</p>

37 <p>Here, the square of 825 is 680625.</p>

36 <p>Here, the square of 825 is 680625.</p>

38 <h2>Tips and Tricks for the Square of 825</h2>

37 <h2>Tips and Tricks for the Square of 825</h2>

39 <p>Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.</p>

38 <p>Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.</p>

40 <ul><li>The square of an<a>even number</a>is always an even number. For example, 6² = 36 </li>

39 <ul><li>The square of an<a>even number</a>is always an even number. For example, 6² = 36 </li>

41 <li>The square of an<a>odd number</a>is always an odd number. For example, 5² = 25 </li>

40 <li>The square of an<a>odd number</a>is always an odd number. For example, 5² = 25 </li>

42 <li>If the<a>square root</a>of a number is a<a>fraction</a>or a<a>decimal</a>, then the number is not a perfect square. For example, √1.44 = 1.2 </li>

41 <li>If the<a>square root</a>of a number is a<a>fraction</a>or a<a>decimal</a>, then the number is not a perfect square. For example, √1.44 = 1.2 </li>

43 <li>The square root of a perfect square is always a whole number. For example, √144 = 12.</li>

42 <li>The square root of a perfect square is always a whole number. For example, √144 = 12.</li>

44 </ul><h2>Common Mistakes to Avoid When Calculating the Square of 825</h2>

43 </ul><h2>Common Mistakes to Avoid When Calculating the Square of 825</h2>

45 <p>Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.</p>

44 <p>Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.</p>

45 + <h2>Download Worksheets</h2>

46 <h3>Problem 1</h3>

47 <p>Find the length of the square, where the area of the square is 680625 cm².</p>

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

49 <p>The area of a square = a² So, the area of a square = 680625 cm² So, the length = √680625 = 825. The length of each side = 825 cm</p>

50 <h3>Explanation</h3>

51 <p>The length of a square is 825 cm.</p>

52 <p>Because the area is 680625 cm² the length is √680625 = 825.</p>

53 <p>Well explained 👍</p>

54 <h3>Problem 2</h3>

55 <p>Sarah is planning to carpet her square room of length 825 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?</p>

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

57 <p>The length of the room = 825 feet The cost to carpet 1 square foot of the room = 5 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 825 Therefore, the area of the room = 825² = 825 × 825 = 680625. The cost to carpet the room = 680625 × 5 = 3403125. The total cost = 3403125 dollars</p>

58 <h3>Explanation</h3>

59 <p>To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.</p>

60 <p>So, the total cost is 3403125 dollars.</p>

61 <p>Well explained 👍</p>

62 <h3>Problem 3</h3>

63 <p>Find the area of a circle whose radius is 825 meters.</p>

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

65 <p>The area of the circle = 2,138,165 m²</p>

66 <h3>Explanation</h3>

67 <p>The area of a circle = πr²</p>

68 <p>Here, r = 825</p>

69 <p>Therefore, the area of the circle = π × 825² = 3.14 × 825 × 825 = 2138165 m².</p>

70 <p>Well explained 👍</p>

71 <h3>Problem 4</h3>

72 <p>The area of the square is 680625 cm². Find the perimeter of the square.</p>

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

74 <p>The perimeter of the square is 3300 cm.</p>

75 <h3>Explanation</h3>

76 <p>The area of the square = a²</p>

77 <p>Here, the area is 680625 cm²</p>

78 <p>The length of the side is √680625 = 825</p>

79 <p>Perimeter of the square = 4a</p>

80 <p>Here, a = 825</p>

81 <p>Therefore, the perimeter = 4 × 825 = 3300.</p>

82 <p>Well explained 👍</p>

83 <h3>Problem 5</h3>

84 <p>Find the square of 826.</p>

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

86 <p>The square of 826 is 682276.</p>

87 <h3>Explanation</h3>

88 <p>The square of 826 is multiplying 826 by 826.</p>

89 <p>So, the square = 826 × 826 = 682276</p>

90 <p>Well explained 👍</p>

91 <h2>FAQs on Square of 825</h2>

92 <h3>1.What is the square of 825?</h3>

93 <p>The square of 825 is 680625, as 825 × 825 = 680625.</p>

94 <h3>2.What is the square root of 825?</h3>

95 <p>The square root of 825 is approximately ±28.72.</p>

96 <h3>3.Is 825 a perfect square?</h3>

97 <h3>4.What are the first few multiples of 825?</h3>

98 <p>The first few<a>multiples</a>of 825 are 825, 1650, 2475, 3300, 4125, 4950, 5775, 6600, and so on.</p>

99 <h3>5.What is the square of 824?</h3>

100 <p>The square of 824 is 678976.</p>

101 <h2>Important Glossaries for Square 825.</h2>

102 <ul><li><strong>Perfect square:</strong>A number that is the square of an integer. For example, 4, 9, 16, etc. </li>

103 <li><strong>Exponent:</strong>A mathematical notation indicating the number of times a quantity is multiplied by itself. For example, in 825², 2 is the exponent. </li>

104 <li><strong>Square root:</strong>The Square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself. </li>

105 <li><strong>Multiplication method:</strong>A method of finding the square of a number by multiplying the number by itself. </li>

106 <li><strong>Calculator:</strong>A device used for performing mathematical calculations, including finding squares of numbers.</li>

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

108 <p>▶</p>

109 <h2>Jaskaran Singh Saluja</h2>

110 <h3>About the Author</h3>

111 <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>

112 <h3>Fun Fact</h3>

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