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Last updated on June 3rd, 2025

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Square of 34

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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 34.

Square of 34 for Australian Students
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What is the Square of 34

The square of a number is the product of the number itself. The square of 34 is 34 × 34. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 34², where 34 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 34 is 34 × 34 = 1156.

Square of 34 in exponential form: 34²

Square of 34 in arithmetic form: 34 × 34

square of 34

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How to Calculate the Value of Square of 34

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 34

 

Step 1: Identify the number. Here, the number is 34

 

Step 2: Multiplying the number by itself, we get, 34 × 34 = 1156.

 

The square of 34 is 1156.

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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 34

So: 34² = 34 × 34 = 1156

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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 34.

 

Step 1: Enter the number in the calculator Enter 34 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 34 × 34

 

Step 3: Press the equal to button to find the answer

 

Here, the square of 34 is 1156.

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Tips and Tricks for the Square of 34

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 34

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 34

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Problem 1

Find the length of a square, where the area of the square is 1156 cm².

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The area of a square = a²

So, the area of a square = 1156 cm²

So, the length = √1156 = 34.

The length of each side = 34 cm

Explanation

The length of a square is 34 cm.

Because the area is 1156 cm², the length is √1156 = 34.

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Problem 2

Sarah is planning to carpet her square room of length 34 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?

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The length of the room = 34 feet

The cost to carpet 1 square foot of the room = 5 dollars.

To find the total cost to carpet, we find the area of the room,

Area of the room = area of the square = a²

Here a = 34

Therefore, the area of the room = 34² = 34 × 34 = 1156.

The cost to carpet the room = 1156 × 5 = 5780.

The total cost = 5780 dollars

Explanation

To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 5780 dollars.

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Problem 3

Find the area of a circle whose radius is 34 meters.

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The area of the circle = 3,625.52 m²

Explanation

The area of a circle = πr²

Here, r = 34

Therefore, the area of the circle = π × 34²

= 3.14 × 34 × 34

= 3625.52 m².

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Problem 4

The area of a square is 1156 cm². Find the perimeter of the square.

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The perimeter of the square is 136 cm

Explanation

The area of the square = a²

Here, the area is 1156 cm²

The length of the side is √1156 = 34

Perimeter of the square = 4a

Here, a = 34

Therefore, the perimeter = 4 × 34 = 136.

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Problem 5

Find the square of 35.

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The square of 35 is 1225

Explanation

The square of 35 is multiplying 35 by 35.

So, the square = 35 × 35 = 1225

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FAQs on Square of 34

1.What is the square of 34?

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2.What is the square root of 34?

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3.Is 34 a prime number?

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4.What are the first few multiples of 34?

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5.What is the square of 33?

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6.How does learning Algebra help students in Australia make better decisions in daily life?

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7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 34?

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8.How do technology and digital tools in Australia support learning Algebra and Square of 34?

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9.Does learning Algebra support future career opportunities for students in Australia?

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Important Glossaries for Square 34.

  • Even number: An even number is divisible by 2. For example, 2, 4, 6, 8, 10, .

     
  • Odd number: An odd number is not divisible by 2. For example, 1, 3, 5, 7, 9, .

     
  • Perfect square: A perfect square is a number that is the square of an integer. For example, 1, 4, 9, 16, 25, .

     
  • Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 34², 2 is the exponent.

     
  • Multiplication: Multiplication is a mathematical operation to find the product of two numbers. It is repetitive addition.
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About BrightChamps in Australia

At BrightChamps, algebra is more than just numbers—it unlocks countless possibilities! Our aim is to help kids all across Australia master important math skills, with today’s lesson focused on the Square of 34 and a special emphasis on understanding squares—in a fun, clear, and engaging way. Whether your child is timing a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the newest gadgets, mastering algebra boosts their confidence for everyday challenges. Our lessons make learning simple and enjoyable. Since kids in Australia learn in various ways, we personalize our approach to suit each child. From Sydney’s vibrant streets to the beautiful beaches of the Gold Coast, BrightChamps brings math to life, making it relatable and exciting across Australia. Let’s make squares a fun 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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