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Last updated on May 29th, 2025

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Square of 324

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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.

Square of 324 for UAE Students
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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

 

square of 324

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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
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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.

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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

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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.
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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

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Calculation errors:

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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.

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Solved Examples on Square of 324

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Problem 1

Find the side length of a square, where the area of the square is 104976 cm².

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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.

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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?

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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.

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Problem 3

Find the area of a circle whose radius is 324 meters.

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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.

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Problem 4

The area of a square is 104976 cm². Find the perimeter of the square.

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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.

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Problem 5

Find the square of 325.

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The square of 325 is 105625.

Explanation

The square of 325 is multiplying 325 by 325.

 

So, the square = 325 × 325 = 105625.

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FAQs on Square of 324

1.What is the square of 324?

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2.What is the square root of 324?

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3.Is 324 a perfect square number?

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4.What are the first few multiples of 324?

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5.What is the square of 320?

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6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 324?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 324?

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9.Does learning Algebra support future career opportunities for students in United Arab Emirates?

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Professor Greenline from BrightChamps

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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About BrightChamps in United Arab Emirates

At BrightChamps, algebra is much more than numbers—it opens doors to countless opportunities! Our goal is to help children throughout the UAE develop key math skills, with today’s lesson focused on the Square of 324 and a special emphasis on understanding squares—in a way that’s fun, engaging, and easy to grasp. Whether your child is timing a roller coaster at Dubai Parks and Resorts, keeping score at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence to handle daily challenges. Our lessons make learning simple and enjoyable. Because children in the UAE have different learning styles, we customize our approach for each child. From Dubai’s towering skyscrapers to Abu Dhabi’s rich culture, BrightChamps brings math to life, making it exciting and relevant throughout the UAE. Let’s make squares an enjoyable part of every child’s math journey!
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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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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