124 LearnersLast updated on June 3rd, 2025
Square of 33
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 33.
What is the Square of 33
The square of a number is the product of the number by itself. The square of 33 is 33 × 33. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as \(33^2\), where 33 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.
For example, (52 = 25); ((-5)2 = 25).
The square of 33 is 33 × 33 = 1089.
Square of 33 in exponential form: (332)
Square of 33 in arithmetic form: 33 × 33
How to Calculate the Value of Square of 33
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 33.
Step 1: Identify the number. Here, the number is 33.
Step 2: Multiplying the number by itself, we get, 33 × 33 = 1089.
The square of 33 is 1089.
Using a Formula (\(a^2\))
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 33
So: (332 = 33 × 33 = 1089\)
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 33.
Step 1: Enter the number in the calculator Enter 33 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 33 × 33
Step 3: Press the equal to button to find the answer
Here, the square of 33 is 1089.
Tips and Tricks for the Square of 33
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, (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 33
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 mostly happen when students skip steps or swap 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 (332) with ((3 + 3)2) or \((30 + 3)2). So students should check and use the correct formula and double-check the answers to avoid all the 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 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 33
Problem 1
Find the side length of the square, where the area of the square is 1089 cm².
The area of a square = (a2)
So, the area of a square = 1089 cm²
So, the length = (sqrt{1089} = 33).
The length of each side = 33 cm
Explanation
The length of a square is 33 cm. Because the area is 1089 cm², the length is (sqrt{1089} = 33).
Problem 2
Anna is planning to put a new carpet on her square floor with a side length of 33 feet. The cost to carpet a square foot is 5 dollars. Then how much will it cost to carpet the entire floor?
The length of the floor = 33 feet
The cost to carpet 1 square foot of floor = 5 dollars.
To find the total cost to carpet, we find the area of the floor,
Area of the floor = area of the square = (a2)
Here (a = 33)
Therefore, the area of the floor = (332 = 33 × 33 = 1089).
The cost to carpet the floor = 1089 × 5 = 5445.
The total cost = 5445 dollars
Explanation
To find the cost to carpet the floor, we multiply the area of the floor by the cost to carpet per foot. So, the total cost is 5445 dollars.
Problem 3
Find the area of a circle whose radius is 33 meters.
The area of the circle = 3,421.86 m²
Explanation
The area of a circle = (pi r2)
Here,(r = 33)
Therefore, the area of the circle = (pi × 332)
= 3.14 × 33 × 33
= 3421.86 m².
Problem 4
The perimeter of a square is 132 cm. Find the area of the square.
The area of the square is 1089 cm².
Explanation
The perimeter of the square = 4a
Here, the perimeter is 132 cm
The length of the side is (132 ÷ 4 = 33)
Area of the square = (a2)
Here, (a = 33)
Therefore, the area = (33 × 33 = 1089) cm².
Problem 5
Find the square of 34.
The square of 34 is 1156.
Explanation
The square of 34 is multiplying 34 by 34.
So, the square = 34 × 34 = 1156.
FAQs on Square of 33
1.What is the square of 33?
2.What is the square root of 33?
3.Is 33 a prime number?
4.What are the first few multiples of 33?
5.What is the square of 32?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 33?
8.How do technology and digital tools in United States support learning Algebra and Square of 33?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 33.
- Perfect square: A number that is the square of an integer. For example, 1089 is a perfect square because it is 332.
- Exponent: The number that indicates how many times the base is multiplied by itself. In (332), 2 is the exponent.
- Base: The number that is multiplied by itself as indicated by the exponent. In (332), 33 is the base.
- Multiplication: The arithmetic operation of combining groups of equal sizes; it is repeated addition.
- Integer: A whole number that can be positive, negative, or zero, but not a fraction.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 33
About BrightChamps in United States
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.
