125 LearnersLast updated on May 27th, 2025
Square of 768
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 768.
What is the Square of 768
The square of a number is the product of the number itself.
The square of 768 is 768 × 768.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 768², where 768 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 768 is 768 × 768 = 589824.
Square of 768 in exponential form: 768²
Square of 768 in arithmetic form: 768 × 768
How to Calculate the Value of the Square of 768
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 (a2)
- 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 768
Step 1: Identify the number. Here, the number is 768
Step 2: Multiplying the number by itself, we get, 768 × 768 = 589824.
The square of 768 is 589824.
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 768 So: 768² = 768 × 768 = 589824
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 768.
Step 1: Enter the number in the calculator Enter 768 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 768 × 768
Step 3: Press the equal to button to find the answer Here, the square of 768 is 589824.
Tips and Tricks for the Square of 768
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 768
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 768² with (7+6+8)² or (700+60+8)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing between 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 errors.
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 768
Problem 1
Find the length of the square, where the area of the square is 589824 cm².
The area of a square = a²
So, the area of a square = 589824 cm²
So, the length = √589824 = 768.
The length of each side = 768 cm
Explanation
The length of a square is 768 cm.
Because the area is 589824 cm², the length is √589824 = 768.
Problem 2
Anna is constructing a square playground of length 768 meters. The cost to lay grass per square meter is 2 dollars. How much will it cost to cover the entire playground with grass?
The length of the playground = 768 meters
The cost to lay grass per square meter = 2 dollars.
To find the total cost to cover the playground, we find the area of the playground,
Area of the playground = area of the square = a²
Here a = 768
Therefore, the area of the playground = 768² = 768 × 768 = 589824.
The cost to cover the playground = 589824 × 2 = 1,179,648.
The total cost = 1,179,648 dollars
Explanation
To find the cost to cover the playground, we multiply the area of the playground by the cost to lay grass per square meter.
So, the total cost is 1,179,648 dollars.
Problem 3
Find the area of a circle whose radius is 768 meters.
The area of the circle = 1,852,208.64 m²
Explanation
The area of a circle = πr²
Here, r = 768
Therefore, the area of the circle = π × 768² = 3.14 × 768 × 768 = 1,852,208.64 m².
Problem 4
The area of the square is 625 cm². Find the perimeter of the square.
The perimeter of the square is 100 cm.
Explanation
The area of the square = a²
Here, the area is 625 cm²
The length of the side is √625 = 25
Perimeter of the square = 4a
Here, a = 25
Therefore, the perimeter = 4 × 25 = 100.
Problem 5
Find the square of 769.
The square of 769 is 591361.
Explanation
The square of 769 is multiplying 769 by 769.
So, the square = 769 × 769 = 591361
FAQs on Square of 768
1.What is the square of 768?
2.What is the square root of 768?
3.Is 768 a perfect square?
4.What are the first few multiples of 768?
5.What is the square of 767?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 768?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 768?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square 768.
- Perfect square: A perfect square is an integer that is the square of an integer. For example, 1, 4, 9, 16, 25, etc.
- 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.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Multiplication method: A method used to find the square of a number by multiplying the number by itself.
- Radius: The distance from the center of a circle to any point on its circumference, used to calculate the area or circumference of the circle.
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About BrightChamps in Bahrain
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.
