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Last updated on May 26th, 2025

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Square Root of 8/9

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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 various fields such as engineering, finance, etc. Here, we will discuss the square root of 8/9.

Square Root of 8/9 for Thai Students
Professor Greenline from BrightChamps

What is the Square Root of 8/9?

The square root is the inverse of the square of a number. 8/9 is a fraction, and its square root can be expressed in both radical and exponential forms. In radical form, it is expressed as √(8/9), whereas in exponential form, it is (8/9)^(1/2). The square root of 8/9 simplifies to √8/√9, which is approximately 0.94281. This is a rational number because it can be expressed as a fraction.

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Finding the Square Root of 8/9

To find the square root of a fraction, you can take the square root of the numerator and the square root of the denominator separately. Let us now learn the following methods: Simplification method Decimal approximation method

Professor Greenline from BrightChamps

Square Root of 8/9 by Simplification Method

To simplify the square root of a fraction like 8/9, follow these steps:

 

Step 1: Find the square root of the numerator and the denominator separately. The numerator is 8, and the denominator is 9.

 

Step 2: The square root of 8 is approximately 2.82843, and the square root of 9 is exactly 3.

 

Step 3: Divide the square root of the numerator by the square root of the denominator: 2.82843/3 = 0.94281.

 

Thus, the square root of 8/9 is approximately 0.94281.

Professor Greenline from BrightChamps

Square Root of 8/9 by Decimal Approximation Method

The decimal approximation method for finding the square root is straightforward. Here is how you can find the square root of 8/9 using this method:

 

Step 1: Convert the fraction 8/9 into a decimal, which is approximately 0.88889.

 

Step 2: Use a calculator to find the square root of 0.88889, which is approximately 0.94281.

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Common Mistakes and How to Avoid Them in the Square Root of 8/9

Students often make mistakes while finding the square root, such as forgetting to simplify the fraction or incorrectly applying the square root to both the numerator and the denominator separately. Here are some common mistakes and how to avoid them.

Mistake 1

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Forgetting to Simplify the Fraction

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It is crucial to simplify the fraction before finding its square root when possible. For example, if the fraction can be reduced, do so before taking the square root. Simplification can lead to easier calculations and more accurate results.

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Square Root of 8/9 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Can you help Max find the area of a square box if its side length is given as √(8/9)?

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The area of the square is 0.88889 square units.

Explanation

The area of the square = side².

The side length is given as √(8/9).

Area of the square = (√(8/9))²

= 8/9

= 0.88889.

Therefore, the area of the square box is 0.88889 square units.

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Max, the Girl Character from BrightChamps

Problem 2

A square-shaped building measuring 8/9 square feet is built; if each of the sides is √(8/9), what will be the square feet of half of the building?

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0.44444 square feet

Explanation

We can just divide the given area by 2 as the building is square-shaped.

Dividing 8/9 by 2 = (8/9)/2

= 0.44444.

So half of the building measures 0.44444 square feet.

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Max, the Girl Character from BrightChamps

Problem 3

Calculate √(8/9) x 5.

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4.71405

Explanation

The first step is to find the square root of 8/9, which is approximately 0.94281.

The second step is to multiply 0.94281 by 5. So 0.94281 x 5 = 4.71405.

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Max, the Girl Character from BrightChamps

Problem 4

What will be the square root of (8/9 + 1/9)?

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The square root is 1.

Explanation

To find the square root, first find the sum of (8/9 + 1/9).

8/9 + 1/9 = 9/9 = 1, and then √1 = 1.

Therefore, the square root of (8/9 + 1/9) is 1.

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Max, the Girl Character from BrightChamps

Problem 5

Find the perimeter of the rectangle if its length 'l' is √(8/9) units and the width 'w' is 1 unit.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The perimeter of the rectangle is 3.88562 units.

Explanation

Perimeter of the rectangle = 2 × (length + width).

Perimeter = 2 × (√(8/9) + 1)

= 2 × (0.94281 + 1)

= 2 × 1.94281

= 3.88562 units.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQ on Square Root of 8/9

1.What is √(8/9) in its simplest form?

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2.Can the square root of 8/9 be expressed as a fraction?

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3.Calculate the square of 8/9.

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4.Is 8/9 a perfect square?

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5.What are the factors of 8/9?

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6.How does learning Algebra help students in Thailand make better decisions in daily life?

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7.How can cultural or local activities in Thailand support learning Algebra topics such as Square Root of 8/9?

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8.How do technology and digital tools in Thailand support learning Algebra and Square Root of 8/9?

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9.Does learning Algebra support future career opportunities for students in Thailand?

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Professor Greenline from BrightChamps

Important Glossaries for the Square Root of 8/9

  • Square root: A square root is the inverse of a square. For example, 3² = 9, and the inverse of the square is the square root, so √9 = 3.
     
  • Rational number: A rational number is a number that can be expressed in the form p/q, where q is not equal to zero and p and q are integers.
     
  • Fraction: A fraction represents a part of a whole or any number of equal parts. It is expressed as a/b, where a is the numerator and b is the denominator.
     
  • Decimal: A decimal is a way of expressing numbers that include a whole number and a fraction, represented with a decimal point. For example, 0.5, 0.75, and 1.25 are decimals. 
     
  • Perfect square: A perfect square is a number that is the square of an integer. For example, 9 is a perfect square because it is 3².
Professor Greenline from BrightChamps

About BrightChamps in Thailand

At BrightChamps, we understand algebra is more than just symbols—it opens up a world of opportunities! Our mission is to help children across Thailand develop essential math skills, focusing today on the Square Root of 8/9 with a special look at square roots—in a lively, enjoyable, and easy-to-follow manner. Whether your child is discovering the speed of a roller coaster at Dream World, tallying local football scores, or managing their allowance to buy the latest gadgets, mastering algebra gives them confidence for everyday life. Our interactive lessons make learning fun and straightforward. Since children in Thailand have varied learning styles, we personalize our approach for each child. From Bangkok’s busy streets to Phuket’s tropical islands, BrightChamps brings math to life, making it relatable and exciting throughout Thailand. Let’s make square roots a joyful part of every child’s math journey!
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Jaskaran Singh Saluja

About the Author

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.

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Max, the Girl Character from BrightChamps

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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