Rivalry2

HTML Diff

2 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>194 Learners</p>

1 + <p>215 Learners</p>

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

3 <p>If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in various fields such as vehicle design, finance, etc. Here, we will discuss the square root of 1159.</p>

4 <h2>What is the Square Root of 1159?</h2>

5 <p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 1159 is not a<a>perfect square</a>. The square root of 1159 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √1159, whereas (1159)^(1/2) in exponential form. √1159 ≈ 34.0454, which is an<a>irrational number</a>because it cannot 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 1159</h2>

7 <p>The<a>prime factorization</a>method is used for perfect square numbers. However, for non-perfect square numbers, the prime factorization method is not applicable. Instead, long-<a>division</a>and approximation methods 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><h3>Square Root of 1159 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 1159 is broken down into its prime factors.</p>

13 <p><strong>Step 1:</strong>Finding the prime factors of 1159 Breaking it down, we get 7 × 13 × 127. Since 1159 is not a perfect square, these factors cannot be paired. Therefore, calculating 1159 using prime factorization as a perfect square is impossible.</p>

14 <h3>Explore Our Programs</h3>

15 - <p>No Courses Available</p>

16 <h3>Square Root of 1159 by Long Division Method</h3>

15 <h3>Square Root of 1159 by Long Division Method</h3>

17 <p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>

16 <p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>

18 <p><strong>Step 1:</strong>Group the numbers from right to left. For 1159, group it as 59 and 11.</p>

17 <p><strong>Step 1:</strong>Group the numbers from right to left. For 1159, group it as 59 and 11.</p>

19 <p><strong>Step 2:</strong>Find n whose square is ≤ 11. We can say n as ‘3’ because 3 × 3 = 9, which is<a>less than</a>11. Now the<a>quotient</a>is 3, and the<a>remainder</a>is 11 - 9 = 2.</p>

18 <p><strong>Step 2:</strong>Find n whose square is ≤ 11. We can say n as ‘3’ because 3 × 3 = 9, which is<a>less than</a>11. Now the<a>quotient</a>is 3, and the<a>remainder</a>is 11 - 9 = 2.</p>

20 <p><strong>Step 3:</strong>Bring down 59 to make the new<a>dividend</a>259.</p>

19 <p><strong>Step 3:</strong>Bring down 59 to make the new<a>dividend</a>259.</p>

21 <p><strong>Step 4</strong>: Double the quotient and use it as the new<a>divisor</a>'s first digit: 3 × 2 = 6.</p>

20 <p><strong>Step 4</strong>: Double the quotient and use it as the new<a>divisor</a>'s first digit: 3 × 2 = 6.</p>

22 <p><strong>Step 5:</strong>Now find a digit x such that 6x × x is less than or equal to 259. Try 4: 64 × 4 = 256.</p>

21 <p><strong>Step 5:</strong>Now find a digit x such that 6x × x is less than or equal to 259. Try 4: 64 × 4 = 256.</p>

23 <p><strong>Step 6:</strong>Subtract 256 from 259 to get the remainder 3.</p>

22 <p><strong>Step 6:</strong>Subtract 256 from 259 to get the remainder 3.</p>

24 <p><strong>Step 7:</strong>Since the remainder is less than the divisor, add a decimal point and two zeroes to continue. The new dividend is 300.</p>

23 <p><strong>Step 7:</strong>Since the remainder is less than the divisor, add a decimal point and two zeroes to continue. The new dividend is 300.</p>

25 <p><strong>Step 8</strong>: Repeat the process to find more decimal places. So the square root of √1159 ≈ 34.0454.</p>

24 <p><strong>Step 8</strong>: Repeat the process to find more decimal places. So the square root of √1159 ≈ 34.0454.</p>

26 <h3>Square Root of 1159 by Approximation Method</h3>

25 <h3>Square Root of 1159 by Approximation Method</h3>

27 <p>The approximation method is another approach for finding square roots. It is an easy method to estimate the square root of a given number. Now let us learn how to find the square root of 1159 using the approximation method.</p>

26 <p>The approximation method is another approach for finding square roots. It is an easy method to estimate the square root of a given number. Now let us learn how to find the square root of 1159 using the approximation method.</p>

28 <p><strong>Step 1:</strong>Find the closest perfect squares of √1159. The smallest perfect square less than 1159 is 1156 (34²) and the largest perfect square more than 1159 is 1225 (35²). √1159 falls between 34 and 35.</p>

27 <p><strong>Step 1:</strong>Find the closest perfect squares of √1159. The smallest perfect square less than 1159 is 1156 (34²) and the largest perfect square more than 1159 is 1225 (35²). √1159 falls between 34 and 35.</p>

29 <p><strong>Step 2:</strong>Use interpolation to approximate: (1159 - 1156) / (1225 - 1156) = 3 / 69 ≈ 0.0435. Adding this to the lower bound: 34 + 0.0435 ≈ 34.0454. Therefore, the square root of 1159 is approximately 34.0454.</p>

28 <p><strong>Step 2:</strong>Use interpolation to approximate: (1159 - 1156) / (1225 - 1156) = 3 / 69 ≈ 0.0435. Adding this to the lower bound: 34 + 0.0435 ≈ 34.0454. Therefore, the square root of 1159 is approximately 34.0454.</p>

30 <h2>Common Mistakes and How to Avoid Them in the Square Root of 1159</h2>

29 <h2>Common Mistakes and How to Avoid Them in the Square Root of 1159</h2>

31 <p>Students often make errors while finding the square root, such as forgetting about the negative square root or skipping steps in the long division method. Here are a few common mistakes:</p>

30 <p>Students often make errors while finding the square root, such as forgetting about the negative square root or skipping steps in the long division method. Here are a few common mistakes:</p>

31 + <h2>Download Worksheets</h2>

32 <h3>Problem 1</h3>

33 <p>Can you help Max find the area of a square box if its side length is given as √1159?</p>

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

35 <p>The area of the square is approximately 1343.0881 square units.</p>

36 <h3>Explanation</h3>

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

38 <p>The side length is given as √1159.</p>

39 <p>Area of the square = (√1159)² = 1159.</p>

40 <p>Well explained 👍</p>

41 <h3>Problem 2</h3>

42 <p>A square-shaped building measuring 1159 square feet is built. If each of the sides is √1159, what will be the square feet of half of the building?</p>

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

44 <p>579.5 square feet</p>

45 <h3>Explanation</h3>

46 <p>We can divide the given area by 2 since the building is square-shaped. Dividing 1159 by 2 = 579.5. So half of the building measures 579.5 square feet.</p>

47 <p>Well explained 👍</p>

48 <h3>Problem 3</h3>

49 <p>Calculate √1159 × 5.</p>

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

51 <p>170.227</p>

52 <h3>Explanation</h3>

53 <p>First, find the square root of 1159, which is approximately 34.0454. Then, multiply 34.0454 by 5. So, 34.0454 × 5 ≈ 170.227.</p>

54 <p>Well explained 👍</p>

55 <h3>Problem 4</h3>

56 <p>What will be the square root of (1150 + 9)?</p>

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

58 <p>The square root is approximately 34.0454.</p>

59 <h3>Explanation</h3>

60 <p>To find the square root, calculate the sum of (1150 + 9) = 1159, and then find √1159 ≈ 34.0454.</p>

61 <p>Well explained 👍</p>

62 <h3>Problem 5</h3>

63 <p>Find the perimeter of the rectangle if its length ‘l’ is √1159 units and the width ‘w’ is 38 units.</p>

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

65 <p>The perimeter of the rectangle is approximately 144.0908 units.</p>

66 <h3>Explanation</h3>

67 <p>Perimeter of the rectangle = 2 × (length + width) Perimeter = 2 × (√1159 + 38) = 2 × (34.0454 + 38) ≈ 2 × 72.0454 ≈ 144.0908 units.</p>

68 <p>Well explained 👍</p>

69 <h2>FAQ on Square Root of 1159</h2>

70 <h3>1.What is √1159 in its simplest form?</h3>

71 <p>The prime factorization of 1159 is 7 × 13 × 127. Since these numbers cannot be paired, the simplest form of √1159 cannot be simplified further in radicals.</p>

72 <h3>2.Mention the factors of 1159.</h3>

73 <p>Factors of 1159 are 1, 7, 13, 91, 127, and 1159.</p>

74 <h3>3.Calculate the square of 1159.</h3>

75 <p>We get the square of 1159 by multiplying the number by itself: 1159 × 1159 = 1343281.</p>

76 <h3>4.Is 1159 a prime number?</h3>

77 <p>1159 is not a<a>prime number</a>, as it has more than two factors.</p>

78 <h3>5.1159 is divisible by?</h3>

79 <p>1159 is divisible by 1, 7, 13, 91, 127, and 1159.</p>

80 <h2>Important Glossaries for the Square Root of 1159</h2>

81 <ul><li><strong>Square root:</strong>A square root is the inverse operation of squaring a number. For example, 4² = 16, so the square root of 16 is √16 = 4.</li>

82 </ul><ul><li><strong>Irrational number:</strong>An irrational number cannot be expressed as a simple fraction, where p and q are integers and q is not zero. Examples include √2 and √1159.</li>

83 </ul><ul><li><strong>Principal square root:</strong>The principal square root is the non-negative square root of a number. For example, the principal square root of 16 is 4, not -4.</li>

84 </ul><ul><li><strong>Prime factorization:</strong>Breaking down a number into its prime factors. For example, the prime factorization of 1159 is 7 × 13 × 127.</li>

85 </ul><ul><li><strong>Approximation:</strong>Estimating a value to a certain degree of accuracy, such as finding √1159 ≈ 34.0454.</li>

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

87 <p>▶</p>

88 <h2>Jaskaran Singh Saluja</h2>

89 <h3>About the Author</h3>

90 <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>

91 <h3>Fun Fact</h3>

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