130 LearnersLast updated on May 29th, 2025
Square of 27225
The product of multiplying an integer by itself is the square of a number. The concept of squaring is widely used in programming, calculating areas, and more. In this topic, we will discuss the square of 27225.
What is the Square of 27225
The square of a number is the product of the number with itself.
The square of 27225 is 27225 × 27225.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as \(27225^2\), where 27225 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive.
For example, \(5^2 = 25\); \((-5)^2 = 25\).
The square of 27225 is 27225 × 27225 = 740,660,625.
Square of 27225 in exponential form: \(27225^2\)
Square of 27225 in arithmetic form: 27225 × 27225
How to Calculate the Value of Square of 27225
The square of a number is calculated 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 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 27225.
Step 1: Identify the number. Here, the number is 27225.
Step 2: Multiplying the number by itself, we get, 27225 × 27225 = 740,660,625.
The square of 27225 is 740,660,625.
Using a Formula (\(a^2\))
In this method, the formula \(a^2\) is used to find the square of the number, where \(a\) is the number.
Step 1: Understanding the equation Square of a number = \(a^2\) \(a^2 = a × a\)
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 27225.
So: \(27225^2 = 27225 × 27225 = 740,660,625\)
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 27225.
Step 1: Enter the number in the calculator. Enter 27225 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 27225 × 27225
Step 3: Press the equal button to find the answer. Here, the square of 27225 is 740,660,625.
Tips and Tricks for the Square of 27225
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, \(6^2 = 36\)
- The square of an odd number is always an odd number. For example, \(5^2 = 25\)
- 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, \(\sqrt{1.44} = 1.2\)
- The square root of a perfect square is always a whole number. For example, \(\sqrt{144} = 12\).
Common Mistakes to Avoid When Calculating the Square of 27225
Mistakes are common among learners when doing math, especially when 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 swap the 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.
Mistake 2
Errors in using the formula.
The formula to find the square of the number is \(a^2\). Instead, students may use incorrect expressions like \( (3 + 7)^2\) or \( (30 + 7)^2\) for 37. Students should ensure they use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, 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 parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 27225
Problem 1
A square garden has an area of 740,660,625 square meters. Find the length of one side of the garden.
The area of a square = \(a^2\) So, the area of the square = 740,660,625 square meters The length of one side = \(\sqrt{740,660,625} = 27225\). The length of each side = 27225 meters
Explanation
The length of the side of the garden is 27225 meters because the area is 740,660,625 square meters, and the length is \(\sqrt{740,660,625} = 27225\).
Problem 2
A city is planning to install a square solar panel field with a side length of 27225 meters. If the cost to install a square meter of the panel is 10 dollars, what is the total cost to install the entire field?
The side length of the solar panel field = 27225 meters The cost to install 1 square meter = 10 dollars. To find the total cost to install, we find the area of the field, Area of the field = area of the square = \(a^2\) Here \(a = 27225\) Therefore, the area of the field = \(27225^2 = 740,660,625\). The total cost to install the field = 740,660,625 × 10 = 7,406,606,250 dollars.
Explanation
To find the cost to install the field, we multiply the area of the field by the cost to install per square meter.
So, the total cost is 7,406,606,250 dollars.
Problem 3
Find the area of a circle whose radius is 27225 meters.
The area of the circle = 2,328,308,887.5 square meters
Explanation
The area of a circle = \(\pi r^2\)
Here, \(r = 27225\)
Therefore, the area of the circle = \(\pi × 27225^2\) = \(3.14 × 27225 × 27225 = 2,328,308,887.5\) square meters.
Problem 4
The area of a square plaza is 740,660,625 square meters. Find the perimeter of the plaza.
The perimeter of the square plaza is 108,900 meters.
Explanation
The area of the square = \(a^2\)
Here, the area is 740,660,625 square meters
The length of the side is \(\sqrt{740,660,625} = 27225\)
Perimeter of the square = 4a
Here, \(a = 27225\)
Therefore, the perimeter = 4 × 27225 = 108,900 meters.
Problem 5
Find the square of 27226.
The square of 27226 is 740,715,076.
Explanation
The square of 27226 is calculated by multiplying 27226 by 27226.
So, the square = 27226 × 27226 = 740,715,076.
FAQs on Square of 27225
1.What is the square of 27225?
2.What is the square root of 27225?
3.Is 27225 a perfect square?
4.What are the first few multiples of 27225?
5.What is the square of 27224?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 27225?
8.How do technology and digital tools in India support learning Algebra and Square of 27225?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 27225
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square of 4.
- Exponential Form: A mathematical notation indicating the number of times a number is multiplied by itself, like \(a^2\).
- Square Root: The inverse operation of the square, resulting in the original number before squaring.
- Multiplication Method: A method of finding the square by directly multiplying the number by itself.
- Calculator Method: Using a calculator to find the square of a number by inputting the number and squaring operation.
Explore More algebra
About BrightChamps in India
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.
