Square of 47
2026-02-28 01:12 Diff
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Last updated on August 5, 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.

What is 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

How to Calculate the Value of Square of 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.

  • 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 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.

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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 47.

So: 47² = 47 × 47 = 2209

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 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 for the Square of 47

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 47

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.

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Problem 1

Find the length of the square, where the area of the square is 2209 cm².

Okay, lets begin

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

Explanation

The length of a square is 47 cm. Because the area is 2209 cm², the length is √2209 = 47.

Well explained 👍

Problem 2

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?

Okay, lets begin

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

Explanation

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.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 47 meters.

Okay, lets begin

The area of the circle = 6933.14 m²

Explanation

The area of a circle = πr²

Here, r = 47

Therefore, the area of the circle = π × 47²

= 3.14 × 47 × 47

= 6933.14 m².

Well explained 👍

Problem 4

The area of the square is 2209 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 188 cm.

Explanation

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.

Well explained 👍

Problem 5

Find the square of 48.

Okay, lets begin

The square of 48 is 2304.

Explanation

The square of 48 is multiplying 48 by 48. So, the square = 48 × 48 = 2304

Well explained 👍

FAQs on Square of 47

1.What is the square of 47?

The square of 47 is 2209, as 47 × 47 = 2209.

2.What is the square root of 47?

The square root of 47 is approximately ±6.8556546.

3.Is 47 a prime number?

Yes, 47 is a prime number; it is only divisible by 1 and 47.

4.What are the first few multiples of 47?

The first few multiples of 47 are 47, 94, 141, 188, 235, 282, 329, 376, and so on.

5.What is the square of 46?

The square of 46 is 2116.

Important Glossaries for Square 47.

  • Prime Number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
  • Exponential Form: A way of expressing numbers as a base raised to a power, e.g., 9² where 9 is the base and 2 is the exponent. 
  • Square: The result of multiplying a number by itself, e.g., the square of 5 is 25. 
  • Perfect Square: A number that is the square of an integer, e.g., 16 is a perfect square because 4 × 4 = 16.
  • Square Root: The inverse operation of squaring a number, e.g., the square root of 25 is 5 because 5 × 5 = 25.

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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.