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Last updated on May 26th, 2025

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Square of 171

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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 this topic, we will discuss the square of 171.

Square of 171 for Thai Students
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What is the Square of 171

The square of a number is the product of the number itself. The square of 171 is 171 × 171. The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 171², where 171 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.

 

The square of 171 is 171 × 171 = 29241. Square of 171 in exponential form: 171² Square of 171 in arithmetic form: 171 × 171

square of 171

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How to Calculate the Value of Square of 171

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
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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 171.

 

Step 1: Identify the number. Here, the number is 171.

 

Step 2: Multiplying the number by itself, we get, 171 × 171 = 29241. The square of 171 is 29241.

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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 171 So: 171² = 171 × 171 = 29241

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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 171.

 

Step 1: Enter the number in the calculator Enter 171 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 171 × 171

 

Step 3: Press the equal to button to find the answer Here, the square of 171 is 29241.

 

Tips and Tricks for the Square of 171 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.

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Common Mistakes to Avoid When Calculating the Square of 171

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.

Mistake 1

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Calculation errors:

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Calculation errors mostly happen when students skip the steps or else by swapping 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.

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Solved Examples on Square of 171

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Problem 1

Find the length of the square, where the area of the square is 29241 cm².

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The area of a square = a² So, the area of a square = 29241 cm² So, the length = √29241 = 171. The length of each side = 171 cm

Explanation

The length of a square is 171 cm.

 

Because the area is 29241 cm² the length is √29241 = 171.

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Problem 2

Maria is planning to tile her square patio of length 171 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full patio?

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The length of the patio = 171 feet The cost to tile 1 square foot of patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 171 Therefore, the area of the patio = 171² = 171 × 171 = 29241. The cost to tile the patio = 29241 × 5 = 146205. The total cost = 146205 dollars

Explanation

To find the cost to tile the patio, we multiply the area of the patio by cost to tile per foot.

 

So, the total cost is 146205 dollars.

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Problem 3

Find the area of a circle whose radius is 171 meters.

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The area of the circle = 91977.06 m²

Explanation

The area of a circle = πr²

 

Here, r = 171

 

Therefore, the area of the circle = π × 171²

 

= 3.14 × 171 × 171

 

= 91977.06 m².

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Problem 4

The area of the square is 298116 cm². Find the perimeter of the square.

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The perimeter of the square is

Explanation

The area of the square = a²

 

Here, the area is 298116 cm²

 

The length of the side is √298116 = 546

 

Perimeter of the square = 4a

 

Here, a = 546

 

Therefore, the perimeter = 4 × 546 = 2184.

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Problem 5

Find the square of 172.

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The square of 172 is 29584

Explanation

The square of 172 is multiplying 172 by 172.

 

So, the square = 172 × 172 = 29584

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FAQs on Square of 171

1.What is the square of 171?

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2.What is the square root of 171?

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3.Is 171 a prime number?

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4.What are the first few multiples of 171?

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5.What is the square of 170?

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6.How does learning Algebra help students in Thailand make better decisions in daily life?

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7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 171?

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8.How do technology and digital tools in Thailand support learning Algebra and Square of 171?

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9.Does learning Algebra support future career opportunities for students in Thailand?

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Important Glossaries for Square 171.

  • Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc.
     
  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
     
  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
     
  • Multiplication method: A mathematical method used to determine the square of a number by multiplying the number by itself.
     
  • Perimeter: The total length around a two-dimensional shape. For example, the perimeter of a square is 4 times the length of one side.
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About BrightChamps in Thailand

At BrightChamps, algebra is much more than numbers—it’s a door to countless possibilities! Our aim is to help children throughout Thailand master key math skills, including today’s lesson on the Square of 171 with a special focus on understanding squares—in an exciting, fun, and easy manner. Whether your child is calculating the speed of a roller coaster at Dream World, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, mastering algebra equips them with the confidence to face everyday situations. Our lessons are designed to make learning simple and fun. Because children in Thailand have different learning styles, we adapt our approach to fit each individual. From Bangkok’s busy streets to Phuket’s tropical islands, BrightChamps makes math engaging and relatable across Thailand. Let’s make squares an exciting part of every child’s math journey!
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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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