107 LearnersLast updated on May 26th, 2025
Square of 426
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 426.
What is the Square of 426
The square of a number is the product of the number with itself. The square of 426 is 426 × 426. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 426², where 426 is the base and 2 is the exponent. The square of both positive and negative numbers is always positive. For example, 5² = 25; (-5)² = 25.
The square of 426 is 426 × 426 = 181476.
Square of 426 in exponential form: 426²
Square of 426 in arithmetic form: 426 × 426
How to Calculate the Value of Square of 426
The square of a number is found by multiplying the number by itself. Here are common methods to find the square of a number:
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find its square. The product here is the square of the number. Let’s find the square of 426.
Step 1: Identify the number. Here, the number is 426.
Step 2: Multiply the number by itself. 426 × 426 = 181476.
The square of 426 is 181476.
Using a Formula (a²)
In this method, we use the formula a² to find the square of the number, where a is the number.
Step 1: Understand the equation. Square of a number = a²
a² = a × a
Step 2: Identify the number and substitute its value into the equation.
Here, ‘a’ is 426.
So: 426² = 426 × 426 = 181476
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 426.
Step 1: Enter the number in the calculator Enter 426 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 426 × 426
Step 3: Press the equal button to find the answer Here, the square of 426 is 181476.
Tips and Tricks for the Square of 426: 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 426
Mistakes are common among kids when doing math, especially when it comes to 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 often occur when students skip steps or swap digits. To avoid this, students should double-check their answers. 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 426
Problem 1
Find the length of a square, where the area of the square is 181476 cm².
The area of a square = a²
So, the area of a square = 181476 cm²
Thus, the length = √181476 = 426.
The length of each side = 426 cm
Explanation
The length of a square is 426 cm because the area is 181476 cm², so the length is √181476 = 426.
Problem 2
Emily is planning to cover her square garden with grass. Each side of the garden is 426 feet long. The cost to cover a foot with grass is 2 dollars. How much will it cost to cover the entire garden?
The length of the garden = 426 feet
The cost to cover 1 square foot with grass = 2 dollars.
To find the total cost to cover the garden, we need the area of the garden,
Area of the garden = area of the square = a²
Here a = 426
Therefore, the area of the garden = 426² = 426 × 426 = 181476.
The cost to cover the garden = 181476 × 2 = 362952.
The total cost = 362952 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 362952 dollars.
Problem 3
Find the area of a circle whose radius is 426 meters.
The area of the circle = 570,963.56 m²
Explanation
The area of a circle = πr²
Here, r = 426
Therefore, the area of the circle = π × 426² = 3.14 × 426 × 426 = 570,963.56 m².
Problem 4
The area of a square is 181476 cm². Find the perimeter of the square.
The perimeter of the square is 1704 cm.
Explanation
The area of the square = a²
Here, the area is 181476 cm²
The length of the side is √181476 = 426
Perimeter of the square = 4a
Here, a = 426
Therefore, the perimeter = 4 × 426 = 1704.
Problem 5
Find the square of 427.
The square of 427 is 182329.
Explanation
The square of 427 is found by multiplying 427 by 427.
So, the square = 427 × 427 = 182329.
FAQs on Square of 426
1.What is the square of 426?
2.What is the square root of 426?
3.Is 426 a prime number?
4.What are the first few multiples of 426?
5.What is the square of 425?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 426?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 426?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 426
- Perfect square: A number that is the square of an integer. For example, 100 is a perfect square because it is 10².
- Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 426², 2 is the exponent.
- Multiplication: The arithmetic operation of scaling one number by another. For example, 426 × 426.
- Calculator: A device or software used to perform mathematical calculations.
- Perimeter: The total length of the sides of a two-dimensional shape. For example, the perimeter of a square with side length 426 is 4 × 426.
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About BrightChamps in Vietnam
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.
