100 LearnersLast updated on May 26th, 2025
Square of 723
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 the topic, we will discuss the square of 723.
What is the Square of 723
The square of a number is the product of the number itself. The square of 723 is 723 × 723. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 723², where 723 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 723 is 723 × 723 = 522,729. Square of 723 in exponential form: 723² Square of 723 in arithmetic form: 723 × 723
How to Calculate the Value of Square of 723
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 723 Step 1: Identify the number. Here, the number is 723 Step 2: Multiplying the number by itself, we get, 723 × 723 = 522,729. The square of 723 is 522,729.
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 723 So: 723² = 723 × 723 = 522,729
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 723. Step 1: Enter the number in the calculator Enter 723 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 723 × 723 Step 3: Press the equal to button to find the answer Here, the square of 723 is 522,729. Tips and Tricks for the Square of 723 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 723
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.
Solved Examples on Square of 723
Problem 1
Find the length of the square, where the area of the square is 522,729 cm².
The area of a square = a² So, the area of a square = 522,729 cm² So, the length = √522,729 = 723. The length of each side = 723 cm
Explanation
The length of a square is 723 cm. Because the area is 522,729 cm², the length is √522,729 = 723.
Problem 2
Tom is planning to paint his square wall of length 723 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 723 feet The cost to paint 1 square foot of wall = 3 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 723 Therefore, the area of the wall = 723² = 723 × 723 = 522,729. The cost to paint the wall = 522,729 × 3 = 1,568,187. The total cost = 1,568,187 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 1,568,187 dollars.
Problem 3
Find the area of a circle whose radius is 723 meters.
The area of the circle = 1,642,293.06 m²
Explanation
The area of a circle = πr² Here, r = 723 Therefore, the area of the circle = π × 723² = 3.14 × 723 × 723 = 1,642,293.06 m².
Problem 4
The area of the square is 529,984 cm². Find the perimeter of the square.
The perimeter of the square is 2,924 cm.
Explanation
The area of the square = a² Here, the area is 529,984 cm² The length of the side is √529,984 ≈ 728 Perimeter of the square = 4a Here, a = 728 Therefore, the perimeter = 4 × 728 = 2,924.
Problem 5
Find the square of 724.
The square of 724 is 524,176.
Explanation
The square of 724 is multiplying 724 by 724. So, the square = 724 × 724 = 524,176
FAQs on Square of 723
1.What is the square of 723?
2.What is the square root of 723?
3.Is 723 a prime number?
4.What are the first few multiples of 723?
5.What is the square of 722?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 723?
8.How do technology and digital tools in Australia support learning Algebra and Square of 723?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 723.
Perfect square: A number that is the square of an integer. For example, 729 is a perfect square because it is 27². Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 2³, 3 is the exponent. Square root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12. Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc. Area of a square: The space contained within the boundaries of a square, calculated as side × side or a².
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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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