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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 4/5.</p>

4 <h2>What is the Square Root of 4/5?</h2>

5 <p>The<a>square</a>root is the inverse of squaring a<a>number</a>. 4/5 is not a<a>perfect square</a>. The square root of 4/5 can be expressed in both radical and<a>exponential form</a>. In radical form, it is expressed as √(4/5), whereas in exponential form, it is expressed as (4/5)^(1/2). √(4/5) = √4/√5 = 2/√5. This is an<a>irrational number</a>because it cannot be expressed as a simple<a>fraction</a>p/q, where p and q are<a>integers</a>and q ≠ 0.</p>

6 <h2>Finding the Square Root of 4/5</h2>

7 <p>The<a>prime factorization</a>method is typically used for perfect square numbers. For non-perfect square numbers like 4/5, we use simplification and<a>rationalization</a>. Let us learn the following methods:</p>

8 <p>Simplification and rationalization Decimal approximation</p>

9 <h2>Square Root of 4/5 by Simplification and Rationalization</h2>

10 <p>To find the<a>square root</a>of a fraction, we take the square root of the<a>numerator</a>and the<a>denominator</a>separately.</p>

11 <p><strong>Step 1:</strong>Find the square roots of the numerator and the denominator separately. √4 = 2 and √5 is left as is because it is an irrational number.</p>

12 <p><strong>Step 2:</strong>Express the square root of the fraction. √(4/5) = √4/√5 = 2/√5.</p>

13 <p><strong>Step 3:</strong>Rationalize the denominator. Multiply both the numerator and the denominator by √5 to remove the radical from the denominator: (2/√5) × (√5/√5) = 2√5/5.</p>

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16 <h2>Square Root of 4/5 by Decimal Approximation</h2>

15 <h2>Square Root of 4/5 by Decimal Approximation</h2>

17 <p>Decimal approximation is another method to find the square root of a given number.</p>

16 <p>Decimal approximation is another method to find the square root of a given number.</p>

18 <p><strong>Step 1:</strong>Find the<a>decimal</a>form of 4/5, which is 0.8.</p>

17 <p><strong>Step 1:</strong>Find the<a>decimal</a>form of 4/5, which is 0.8.</p>

19 <p><strong>Step 2:</strong>Use a<a>calculator</a>to approximate √0.8. √0.8 ≈ 0.8944.</p>

18 <p><strong>Step 2:</strong>Use a<a>calculator</a>to approximate √0.8. √0.8 ≈ 0.8944.</p>

20 <h2>Common Mistakes and How to Avoid Them in the Square Root of 4/5</h2>

19 <h2>Common Mistakes and How to Avoid Them in the Square Root of 4/5</h2>

21 <p>Students often make mistakes when calculating square roots, such as forgetting about the negative square root, skipping steps in rationalization, or misapplying decimal approximations. Here, we will explore some common mistakes in detail.</p>

20 <p>Students often make mistakes when calculating square roots, such as forgetting about the negative square root, skipping steps in rationalization, or misapplying decimal approximations. Here, we will explore some common mistakes in detail.</p>

22 <h3>Problem 1</h3>

21 <h3>Problem 1</h3>

23 <p>A rectangle has an area of 4/5 square units. What is the length of a side if it is a square?</p>

22 <p>A rectangle has an area of 4/5 square units. What is the length of a side if it is a square?</p>

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

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

25 <p>The side length is approximately 0.8944 units.</p>

24 <p>The side length is approximately 0.8944 units.</p>

26 <h3>Explanation</h3>

25 <h3>Explanation</h3>

27 <p>Since the area of the square is 4/5, which is 0.8, the side length is the square root of the area. √0.8 ≈ 0.8944.</p>

26 <p>Since the area of the square is 4/5, which is 0.8, the side length is the square root of the area. √0.8 ≈ 0.8944.</p>

28 <p>Therefore, the side length is approximately 0.8944 units.</p>

27 <p>Therefore, the side length is approximately 0.8944 units.</p>

29 <p>Well explained 👍</p>

28 <p>Well explained 👍</p>

30 <h3>Problem 2</h3>

29 <h3>Problem 2</h3>

31 <p>If you multiply the square root of 4/5 by 5, what is the result?</p>

30 <p>If you multiply the square root of 4/5 by 5, what is the result?</p>

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

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

33 <p>The result is approximately 4.472.</p>

32 <p>The result is approximately 4.472.</p>

34 <h3>Explanation</h3>

33 <h3>Explanation</h3>

35 <p>First, find the square root of 4/5, which is approximately 0.8944.</p>

34 <p>First, find the square root of 4/5, which is approximately 0.8944.</p>

36 <p>Multiply this by 5: 0.8944 × 5 = 4.472.</p>

35 <p>Multiply this by 5: 0.8944 × 5 = 4.472.</p>

37 <p>Well explained 👍</p>

36 <p>Well explained 👍</p>

38 <h3>Problem 3</h3>

37 <h3>Problem 3</h3>

39 <p>What is the square root of (4/5)²?</p>

38 <p>What is the square root of (4/5)²?</p>

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

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

41 <p>The square root is 4/5.</p>

40 <p>The square root is 4/5.</p>

42 <h3>Explanation</h3>

41 <h3>Explanation</h3>

43 <p>The square root of a square returns the original number: √((4/5)²) = 4/5.</p>

42 <p>The square root of a square returns the original number: √((4/5)²) = 4/5.</p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h2>FAQ on Square Root of 4/5</h2>

44 <h2>FAQ on Square Root of 4/5</h2>

46 <h3>1.What is √(4/5) in its simplest form?</h3>

45 <h3>1.What is √(4/5) in its simplest form?</h3>

47 <p>The simplest form of √(4/5) is 2/√5, which can be rationalized to 2√5/5.</p>

46 <p>The simplest form of √(4/5) is 2/√5, which can be rationalized to 2√5/5.</p>

48 <h3>2.Is 4/5 a rational number?</h3>

47 <h3>2.Is 4/5 a rational number?</h3>

49 <p>Yes, 4/5 is a<a>rational number</a>because it can be expressed as a fraction of two integers, 4 and 5, where the denominator is not zero.</p>

48 <p>Yes, 4/5 is a<a>rational number</a>because it can be expressed as a fraction of two integers, 4 and 5, where the denominator is not zero.</p>

50 <h3>3.What is the decimal value of √(4/5)?</h3>

49 <h3>3.What is the decimal value of √(4/5)?</h3>

51 <p>The decimal approximation of √(4/5) is approximately 0.8944.</p>

50 <p>The decimal approximation of √(4/5) is approximately 0.8944.</p>

52 <h3>4.Can √(4/5) be expressed as a whole number?</h3>

51 <h3>4.Can √(4/5) be expressed as a whole number?</h3>

53 <p>No, √(4/5) cannot be expressed as a<a>whole number</a>or a simple fraction. It is an irrational number.</p>

52 <p>No, √(4/5) cannot be expressed as a<a>whole number</a>or a simple fraction. It is an irrational number.</p>

54 <h3>5.How do you rationalize the denominator of 2/√5?</h3>

53 <h3>5.How do you rationalize the denominator of 2/√5?</h3>

55 <p>To<a>rationalize</a>the denominator of 2/√5, multiply the numerator and the denominator by √5: (2/√5) × (√5/√5) = 2√5/5.</p>

54 <p>To<a>rationalize</a>the denominator of 2/√5, multiply the numerator and the denominator by √5: (2/√5) × (√5/√5) = 2√5/5.</p>

56 <h2>Important Glossaries for the Square Root of 4/5</h2>

55 <h2>Important Glossaries for the Square Root of 4/5</h2>

57 <ul><li><strong>Square root:</strong>The square root of a number is a value that, when multiplied by itself, gives the original number. Example: √9 = 3 because 3 × 3 = 9. </li>

56 <ul><li><strong>Square root:</strong>The square root of a number is a value that, when multiplied by itself, gives the original number. Example: √9 = 3 because 3 × 3 = 9. </li>

58 <li><strong>Irrational number:</strong>An irrational number cannot be expressed as a simple fraction. It is non-repeating and non-terminating in decimal form. </li>

57 <li><strong>Irrational number:</strong>An irrational number cannot be expressed as a simple fraction. It is non-repeating and non-terminating in decimal form. </li>

59 <li><strong>Rationalization:</strong>The process of eliminating a radical from the denominator of a fraction by multiplying the numerator and the denominator by a suitable radical. </li>

58 <li><strong>Rationalization:</strong>The process of eliminating a radical from the denominator of a fraction by multiplying the numerator and the denominator by a suitable radical. </li>

60 <li><strong>Decimal approximation:</strong>The process of finding a decimal number close to the value of an irrational number. </li>

59 <li><strong>Decimal approximation:</strong>The process of finding a decimal number close to the value of an irrational number. </li>

61 <li><strong>Fraction:</strong>A numerical quantity that is not a whole number, represented by two integers, a numerator and a denominator.</li>

60 <li><strong>Fraction:</strong>A numerical quantity that is not a whole number, represented by two integers, a numerator and a denominator.</li>

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

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

63 <p>▶</p>

62 <p>▶</p>

64 <h2>Jaskaran Singh Saluja</h2>

63 <h2>Jaskaran Singh Saluja</h2>

65 <h3>About the Author</h3>

64 <h3>About the Author</h3>

66 <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>

65 <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>

67 <h3>Fun Fact</h3>

66 <h3>Fun Fact</h3>

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

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