127 LearnersLast updated on May 27th, 2025
Square of 3249
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 this topic, we will discuss the square of 3249.
What is the Square of 3249
The square of a number is the product of the number itself.
However, 3249 is already a square number.
The square of 3249 is obtained by squaring 57 since 57 × 57 = 3249.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 57², where 57 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 3249 is 57 × 57 = 3249.
Square of 3249 in exponential form: 57²
Square of 3249 in arithmetic form: 57 × 57
How to Calculate the Value of Square of 3249
The square of a number is multiplying the number by itself. Since 3249 is already a square number, let's learn how to find the square root of 3249. 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. Since 3249 is already the result of squaring a number, let's explore the multiplication that leads to this square. Let’s verify the square of 57.
Step 1: Identify the number. Here, the number is 57.
Step 2: Multiplying the number by itself, we get, 57 × 57 = 3249.
The square of 57 is 3249.
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 57 So: 57² = 57 × 57 = 3249
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 57.
Step 1: Enter the number in the calculator Enter 57 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 57 × 57
Step 3: Press the equal to button to find the answer Here, the square of 57 is 3249.
Tips and Tricks for the Square of 3249
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 3249
Mistakes are common among kids when doing math, especially when 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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 57² with (5+7)² or (50+7)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 3249
Problem 1
Find the side length of a square, where the area of the square is 3249 cm².
The area of a square = a²
So, the area of a square = 3249 cm²
So, the side length = √3249 = 57.
The side length of each side = 57 cm
Explanation
The side length of a square is 57 cm because the area is 3249 cm²; the length is √3249 = 57.
Problem 2
Sarah wants to fence her square garden of side length 57 meters. The cost of fencing per meter is 5 dollars. What will be the total cost to fence the entire garden?
The side length of the garden = 57 meters
The cost to fence 1 meter of garden = 5 dollars.
To find the total cost to fence, we find the perimeter of the garden,
Perimeter of the garden = perimeter of the square = 4a
Here a = 57
Therefore, the perimeter = 4 × 57 = 228.
The cost to fence the garden = 228 × 5 = 1140.
The total cost = 1140 dollars
Explanation
To find the cost to fence the garden, we multiply the perimeter of the garden by the cost to fence per meter.
So, the total cost is 1140 dollars.
Problem 3
A circular track has a diameter of 57 meters. Find the area of the track.
The area of the track = 2,550.57 m²
Explanation
The area of a circle = πr²
The radius r = diameter/2 = 57/2 = 28.5
Therefore, the area of the track = π × (28.5)² = 3.14 × 28.5 × 28.5 = 2,550.57 m²
Problem 4
The area of a square is 3249 cm². Find the perimeter of the square.
The perimeter of the square is 228 cm.
Explanation
The area of the square = a²
Here, the area is 3249 cm²
The length of the side is √3249 = 57
Perimeter of the square = 4a
Here, a = 57
Therefore, the perimeter = 4 × 57 = 228.
Problem 5
Find the square of 58.
The square of 58 is 3364.
Explanation
The square of 58 is multiplying 58 by 58.
So, the square = 58 × 58 = 3364.
FAQs on Square of 3249
1.What is the square of 3249?
2.What is the square root of 3249?
3.Is 3249 a perfect square?
4.What are the first few multiples of 57?
5.What is the square of 56?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 3249?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 3249?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 3249.
- Perfect square: A number that is the square of an integer. For example, 3249 is a perfect square since 57² = 3249.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Multiplication method: A method of finding the square of a number by multiplying the number by itself.
- Exponential form: Writing a number in the form of a power, such as 57², where 57 is the base and 2 is the power.
- Prime number: A number that is only divisible by 1 and itself, such as 57, which is not a prime number.
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About BrightChamps in Singapore
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
: He loves to play the quiz with kids through algebra to make kids love it.
