Last updated on June 3rd, 2025
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 47.
The square of a number is the product of the number itself. The square of 47 is 47 × 47. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 47², where 47 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 47 is 47 × 47 = 2209.
Square of 47 in exponential form: 47²
Square of 47 in arithmetic form: 47 × 47
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 47.
Step 1: Identify the number. Here, the number is 47.
Step 2: Multiplying the number by itself, we get, 47 × 47 = 2209.
The square of 47 is 2209.
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 47.
So: 47² = 47 × 47 = 2209
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 47.
Step 1: Enter the number in the calculator Enter 47 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 47 × 47
Step 3: Press the equal to button to find the answer Here, the square of 47 is 2209.
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 is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Find the length of the square, where the area of the square is 2209 cm².
The area of a square = a²
So, the area of a square = 2209 cm²
So, the length = √2209 = 47.
The length of each side = 47 cm
The length of a square is 47 cm. Because the area is 2209 cm², the length is √2209 = 47.
Sarah wants to carpet her square room of length 47 meters. The cost to carpet a meter is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 47 meters
The cost to carpet 1 square meter of the room = 5 dollars.
To find the total cost to carpet, we find the area of the room,
Area of the room = area of the square = a²
Here a = 47
Therefore, the area of the room = 47² = 47 × 47 = 2209.
The cost to carpet the room = 2209 × 5 = 11045.
The total cost = 11045 dollars
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per meter. So, the total cost is 11045 dollars.
Find the area of a circle whose radius is 47 meters.
The area of the circle = 6933.14 m²
The area of a circle = πr²
Here, r = 47
Therefore, the area of the circle = π × 47²
= 3.14 × 47 × 47
= 6933.14 m².
The area of the square is 2209 cm². Find the perimeter of the square.
The perimeter of the square is 188 cm.
The area of the square = a²
Here, the area is 2209 cm²
The length of the side is √2209 = 47
Perimeter of the square = 4a
Here, a = 47
Therefore, the perimeter = 4 × 47 = 188.
Find the square of 48.
The square of 48 is 2304.
The square of 48 is multiplying 48 by 48. So, the square = 48 × 48 = 2304
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.