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Last updated on May 26th, 2025

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Square Root of 25/4

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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 fields such as vehicle design, finance, etc. Here, we will discuss the square root of 25/4.

Square Root of 25/4 for Vietnamese Students
Professor Greenline from BrightChamps

What is the Square Root of 25/4?

The square root is the inverse of the square of the number. 25/4 is a perfect square. The square root of 25/4 can be expressed in both radical and exponential form. In the radical form, it is expressed as √(25/4), whereas (25/4)^(1/2) in the exponential form. √(25/4) = 5/2 = 2.5, which is a rational number because it can be expressed in the form of p/q, where p and q are integers and q ≠ 0.

Professor Greenline from BrightChamps

Finding the Square Root of 25/4

The prime factorization method and direct calculation can be used for perfect square numbers. Since 25/4 is a perfect square, we can directly calculate its square root. Let us now learn the following method:

 

  • Direct Calculation Method
Professor Greenline from BrightChamps

Square Root of 25/4 by Direct Calculation Method

Since 25/4 is a fraction, we can find its square root by finding the square root of the numerator and the denominator separately.

 

Step 1: Find the square root of the numerator, which is 25. The square root of 25 is 5.

 

Step 2: Find the square root of the denominator, which is 4. The square root of 4 is 2.

 

Step 3: Combine the square roots to form a fraction.

 

Therefore, the square root of 25/4 is 5/2, which is equal to 2.5.

Professor Greenline from BrightChamps

Common Mistakes and How to Avoid Them in the Square Root of 25/4

Students do make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying the fraction properly. Let us look at a few of these mistakes in detail.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in the Square Root of 25/4

Students do make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying fractions properly. Let us look at a few of these mistakes in detail.

Mistake 1

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Forgetting about the negative square root

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It is important to remember that a number has both positive and negative square roots. However, we usually consider only the principal (positive) square root unless specified otherwise.

For example, the square root of 25/4 is ±2.5, but we focus on 2.5.

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Square Root of 25/4 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 √(25/4)?

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The area of the square is 6.25 square units.

Explanation

The area of the square = side².

The side length is given as √(25/4) = 5/2 = 2.5.

Area of the square = side²

= 2.5 × 2.5

= 6.25.

Therefore, the area of the square box is 6.25 square units.

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Max, the Girl Character from BrightChamps

Problem 2

A square-shaped garden measuring 25/4 square meters is built; if each of the sides is √(25/4), what will be the square meters of half of the garden?

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3.125 square meters

Explanation

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

Dividing 25/4 by 2 = (25/4) / 2 = 25/8 = 3.125.

So half of the garden measures 3.125 square meters.

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Max, the Girl Character from BrightChamps

Problem 3

Calculate √(25/4) × 5.

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12.5

Explanation

The first step is to find the square root of 25/4, which is 2.5. The second step is to multiply 2.5 by 5. So, 2.5 × 5 = 12.5.

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Max, the Girl Character from BrightChamps

Problem 4

What will be the square root of (25/4 + 0)?

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The square root is 2.5

Explanation

To find the square root, we need to determine the sum of (25/4 + 0). 25/4 + 0 = 25/4, and then √(25/4) = 2.5.

Therefore, the square root of (25/4 + 0) is ±2.5.

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Max, the Girl Character from BrightChamps

Problem 5

Find the perimeter of the rectangle if its length ‘l’ is √(25/4) units and the width ‘w’ is 4 units.

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

We find the perimeter of the rectangle as 13 units.

Explanation

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

Perimeter = 2 × (2.5 + 4)

= 2 × 6.5

= 13 units.

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

FAQ on Square Root of 25/4

1.What is √(25/4) in its simplest form?

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2.Mention the factors of 25/4.

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3.Calculate the square of 25/4.

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4.Is 25/4 a rational number?

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5.Is 25/4 a perfect square?

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

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7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square Root of 25/4?

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8.How do technology and digital tools in Vietnam support learning Algebra and Square Root of 25/4?

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

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Professor Greenline from BrightChamps

Important Glossaries for the Square Root of 25/4

  • Square root: A square root is the inverse of a square. For example, 4² = 16 and the inverse of the square is the square root, that is √16 = 4.
     
  • Rational number: A rational number is a number that can be written in the form of p/q, where p and q are integers and q is not equal to zero.
     
  • Perfect square: A perfect square is a number that is the square of an integer. For example, 25 and 4 are perfect squares because they are squares of 5 and 2, respectively.
  • Fraction: A fraction represents a part of a whole or, more generally, any number of equal parts. It is expressed as the quotient of two numbers, the numerator over the denominator.
     
  • Principal square root: A number has both positive and negative square roots; however, it is usually the positive square root that is used in real-world applications. This is known as the principal square root.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, we know algebra is more than symbols—it’s a path to countless opportunities! Our goal is to help children across Vietnam grasp essential math skills, with today’s focus on the Square Root of 25/4 and a special look at square roots—in an engaging, enjoyable, and easy-to-learn way. Whether your child is figuring out how fast a roller coaster moves at Suoi Tien Theme Park, keeping track of local football scores, or budgeting their allowance for new gadgets, mastering algebra gives them the confidence to handle daily challenges. Our interactive lessons make learning easy and fun. Since children in Vietnam learn in different ways, we adapt to each learner’s style. From Ho Chi Minh City’s vibrant streets to the beautiful Ha Long Bay, BrightChamps makes math come alive throughout Vietnam. Let’s make square roots an exciting part of every child’s math adventure!
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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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