138 LearnersLast updated on May 29th, 2025
Square of 324
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 324.
What is the Square of 324
The square of a number is the product of the number itself.
The square of 324 is 324 × 324.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 324², where 324 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 324 is 324 × 324 = 104976.
Square of 324 in exponential form: 324²
Square of 324 in arithmetic form: 324 × 324
How to Calculate the Value of Square of 324
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
- 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 324.
Step 1: Identify the number. Here, the number is 324
Step 2: Multiplying the number by itself, we get, 324 × 324 = 104976.
The square of 324 is 104976.
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 324
So: 324² = 324 × 324 = 104976
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 324.
Step 1: Enter the number in the calculator. Enter 324 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 324 × 324.
Step 3: Press the equal to button to find the answer. Here, the square of 324 is 104976.
Tips and Tricks for the Square of 324
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 324
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.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 324² with (3 + 24)² or (300 + 24)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 324
Problem 1
Find the side length of a square, where the area of the square is 104976 cm².
The area of a square = a²
So, the area of a square = 104976 cm²
So, the side length = √104976 = 324.
The length of each side = 324 cm
Explanation
The length of a square is 324 cm.
Because the area is 104976 cm², the length is √104976 = 324.
Problem 2
Sarah is planning to tile her square floor of side length 324 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire floor?
The side length of the floor = 324 feet
The cost to tile 1 square foot of floor = 5 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 = 324
Therefore, the area of the floor = 324² = 324 × 324 = 104976.
The cost to tile the floor = 104976 × 5 = 524880.
The total cost = 524880 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 524880 dollars.
Problem 3
Find the area of a circle whose radius is 324 meters.
The area of the circle = 329,382.44 m²
Explanation
The area of a circle = πr²
Here, r = 324
Therefore, the area of the circle = π × 324² = 3.14 × 324 × 324 = 329,382.44 m².
Problem 4
The area of a square is 104976 cm². Find the perimeter of the square.
The perimeter of the square is 1296 cm.
Explanation
The area of the square = a²
Here, the area is 104976 cm²
The length of the side is √104976 = 324
Perimeter of the square = 4a
Here, a = 324
Therefore, the perimeter = 4 × 324 = 1296 cm.
Problem 5
Find the square of 325.
The square of 325 is 105625.
Explanation
The square of 325 is multiplying 325 by 325.
So, the square = 325 × 325 = 105625.
FAQs on Square of 324
1.What is the square of 324?
2.What is the square root of 324?
3.Is 324 a perfect square number?
4.What are the first few multiples of 324?
5.What is the square of 320?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 324?
8.How do technology and digital tools in Canada support learning Algebra and Square of 324?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square of 324.
- Perfect square: A number that is the square of an integer. For example, 324 is a perfect square as it is 18².
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 324², 2 is the exponent.
- 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: The process of finding the product by combining two or more numbers. For example, 324 × 324.
- Calculator: An electronic device used for calculations, including finding squares, square roots, and other operations.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
