101 LearnersLast updated on May 27th, 2025
Square of 548
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 the topic, we will discuss the square of 548.
What is the Square of 548
The square of a number is the product of the number itself.
The square of 548 is 548 × 548.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 548², where 548 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 548 is 548 × 548 = 300,304.
Square of 548 in exponential form: 548²
Square of 548 in arithmetic form: 548 × 548
How to Calculate the Value of Square of 548
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.
- By Multiplication Method
- Using a Formula(a2)
- Using a Calculator
By the Multiplication Method
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 548.
Step 1: Identify the number. Here, the number is 548
Step 2: Multiplying the number by itself, we get, 548 × 548 = 300,304.
The square of 548 is 300,304.
Using a Formula (a²)
In this method, the formula, a² is used to find the square of the number. Where a is the number.
Step 1: Understanding the equation Square of a number = a² a² = a × a
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 548 So: 548² = 548 × 548 = 300,304
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 548.
Step 1: Enter the number in the calculator Enter 548 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 548 × 548
Step 3: Press the equal to button to find the answer Here, the square of 548 is 300,304.
Tips and Tricks for the Square of 548
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.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 548
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of 548
Problem 1
Find the length of the square, where the area of the square is 300,304 cm².
The area of a square = a²
So, the area of a square = 300,304 cm²
So, the length = √300,304 = 548.
The length of each side = 548 cm
Explanation
The length of a square is 548 cm.
Because the area is 300,304 cm² the length is √300,304 = 548.
Problem 2
Anna is planning to tile her square floor of length 548 feet. The cost to tile a foot is 3 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 548 feet
The cost to tile 1 square foot of the floor = 3 dollars.
To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a²
Here a = 548
Therefore, the area of the floor = 548² = 548 × 548 = 300,304.
The cost to tile the floor = 300,304 × 3 = 900,912.
The total cost = 900,912 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot.
So, the total cost is 900,912 dollars.
Problem 3
Find the area of a circle whose radius is 548 meters.
The area of the circle = 943,957.36 m²
Explanation
The area of a circle = πr²
Here, r = 548
Therefore, the area of the circle = π × 548² = 3.14 × 548 × 548 = 943,957.36 m².
Problem 4
The area of the square is 300,304 cm². Find the perimeter of the square.
The perimeter of the square is 2,192 cm
Explanation
The area of the square = a²
Here, the area is 300,304 cm²
The length of the side is √300,304 = 548
Perimeter of the square = 4a
Here, a = 548
Therefore, the perimeter = 4 × 548 = 2,192.
Problem 5
Find the square of 549.
The square of 549 is 301,401
Explanation
The square of 549 is multiplying 549 by 549.
So, the square = 549 × 549 = 301,401
FAQs on Square of 548
1.What is the square of 548?
2.What is the square root of 548?
3.Is 548 a perfect square?
4.What are the first few multiples of 548?
5.What is the square of 547?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 548?
8.How do technology and digital tools in Australia support learning Algebra and Square of 548?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 548
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
- Multiplication: The process of calculating the total of one number multiplied by another.
- Exponent: The power to which a number is raised. For example, in 548², 2 is the exponent.
- Perimeter: The total length of all sides of a two-dimensional shape.
- Area: The size of a surface. It is measured in square units.
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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.
Fun Fact
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