121 LearnersLast updated on May 26th, 2025
Square of 69
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 69.
What is the Square of 69
The square of a number is the product of the number itself.
The square of 69 is 69 × 69.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 69², where 69 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 69 is 69 × 69 = 4761.
Square of 69 in exponential form: 69²
Square of 69 in arithmetic form: 69 × 69
How to Calculate the Value of Square of 69
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 69.
Step 1: Identify the number. Here, the number is 69
Step 2: Multiplying the number by itself, we get, 69 × 69 = 4761.
The square of 69 is 4761.
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 69.
So: 69² = 69 × 69 = 4761
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 69.
Step 1: Enter the number in the calculator Enter 69 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 69 × 69
Step 3: Press the equal to button to find the answer Here, the square of 69 is 4761.
Tips and Tricks for the Square of 69
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 69
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 69² with (6 + 9)² or (60 + 9)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 error.
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 69
Problem 1
Find the length of the square, where the area of the square is 4761 cm².
The area of a square = a²
So, the area of a square = 4761 cm²
So, the length = √4761 = 69.
The length of each side = 69 cm
Explanation
The length of a square is 69 cm.
Because the area is 4761 cm² the length is √4761 = 69.
Problem 2
Sarah is planning to cover her square garden of length 69 meters with tiles. The cost to pave a square meter is 5 dollars. Then how much will it cost to pave the full garden?
The length of the garden = 69 meters
The cost to pave 1 square meter of garden = 5 dollars.
To find the total cost to pave, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 69
Therefore, the area of the garden = 69² = 69 × 69 = 4761.
The cost to pave the garden = 4761 × 5 = 23805.
The total cost = 23805 dollars
Explanation
To find the cost to pave the garden, we multiply the area of the garden by cost to pave per meter. So, the total cost is 23805 dollars.
Problem 3
Find the area of a circle whose radius is 69 meters.
The area of the circle = 14,948.34 m²
Explanation
The area of a circle = πr²
Here, r = 69
Therefore, the area of the circle = π × 69² = 3.14 × 69 × 69 = 14,948.34 m².
Problem 4
The area of the square is 4761 cm². Find the perimeter of the square.
The perimeter of the square is 276 cm
Explanation
The area of the square = a²
Here, the area is 4761 cm²
The length of the side is √4761 = 69
Perimeter of the square = 4a
Here, a = 69 Therefore, the perimeter = 4 × 69 = 276.
Problem 5
Find the square of 70.
The square of 70 is 4900
Explanation
The square of 70 is multiplying 70 by 70.
So, the square = 70 × 70 = 4900
FAQs on Square of 69
1.What is the square of 69?
2.What is the square root of 69?
3.Is 69 a prime number?
4.What are the first few multiples of 69?
5.What is the square of 68?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Square of 69?
8.How do technology and digital tools in Oman support learning Algebra and Square of 69?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Square 69.
- Integer: A whole number that can be positive, negative, or zero. Example: -3, 0, 4.
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. Example: In 5², 2 is the exponent.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. Example: 2, 3, 5, 7.
- Square Root: A value that, when multiplied by itself, gives the original number. Example: The square root of 49 is 7.
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About BrightChamps in Oman
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.
