101 LearnersLast updated on May 27th, 2025
Square of 538
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 538.
What is the Square of 538
The square of a number is the product of the number itself.
The square of 538 is 538 × 538.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 538², where 538 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 538 is 538 × 538 = 289,444.
Square of 538 in exponential form: 538²
Square of 538 in arithmetic form: 538 × 538
How to Calculate the Value of Square of 538
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 538.
Step 1: Identify the number. Here, the number is 538
Step 2: Multiplying the number by itself, we get, 538 × 538 = 289,444.
The square of 538 is 289,444.
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 538 So: 538² = 538 × 538 = 289,444
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 538.
Step 1: Enter the number in the calculator Enter 538 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 538 × 538
Step 3: Press the equal to button to find the answer Here, the square of 538 is 289,444.
Tips and Tricks for the Square of 538
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 538
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 538
Problem 1
Find the length of the square, where the area of the square is 289,444 cm².
The area of a square = a²
So, the area of a square = 289,444 cm²
So, the length = √289,444 = 538.
The length of each side = 538 cm
Explanation
The length of a square is 538 cm. Because the area is 289,444 cm², the length is √289,444 = 538.
Problem 2
Sarah is planning to tile her square patio of length 538 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full patio?
The length of the patio = 538 feet
The cost to tile 1 square foot of patio = 5 dollars.
To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a²
Here a = 538
Therefore, the area of the patio = 538² = 538 × 538 = 289,444.
The cost to tile the patio = 289,444 × 5 = 1,447,220.
The total cost = 1,447,220 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot.
So, the total cost is 1,447,220 dollars.
Problem 3
Find the area of a circle whose radius is 538 meters.
The area of the circle = 909,402.32 m²
Explanation
The area of a circle = πr²
Here, r = 538
Therefore, the area of the circle = π × 538² = 3.14 × 538 × 538 = 909,402.32 m².
Problem 4
The area of the square is 289,444 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 289,444 cm²
The length of the side is √289,444 = 538
Perimeter of the square = 4a
Here, a = 538
Therefore, the perimeter = 4 × 538 = 2,152.
Problem 5
Find the square of 540.
The square of 540 is 291,600
Explanation
The square of 540 is multiplying 540 by 540.
So, the square = 540 × 540 = 291,600
FAQs on Square of 538
1.What is the square of 538?
2.What is the square root of 538?
3.Is 538 a prime number?
4.What are the first few multiples of 538?
5.What is the square of 540?
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 538?
8.How do technology and digital tools in Australia support learning Algebra and Square of 538?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 538.
- Perfect square: A number that is the square of an integer. For example, 289,444 is a perfect square because it is 538².
- Area: The extent of a two-dimensional surface enclosed within a boundary, calculated in square units.
- Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 538², 2 is the exponent.
- Radius: The distance from the center of a circle to any point on its circumference.
- Perimeter: The continuous line forming the boundary of a closed geometric figure, calculated as the sum of its sides. For a square, it is 4 times the length of one side.
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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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