Last updated on June 3rd, 2025
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.
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
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.
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.
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\)
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 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.
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.
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
The length of a square is 33 cm. Because the area is 1089 cm², the length is (sqrt{1089} = 33).
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
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.
Find the area of a circle whose radius is 33 meters.
The area of the circle = 3,421.86 m²
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.
The perimeter of a square is 132 cm. Find the area of the square.
The area of the square is 1089 cm².
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.
Find the square of 34.
The square of 34 is 1156.
The square of 34 is multiplying 34 by 34.
So, the square = 34 × 34 = 1156.
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.
: He loves to play the quiz with kids through algebra to make kids love it.