116 LearnersLast updated on May 26th, 2025
Square of 171
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.
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
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
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.
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
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.
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
Calculation errors:
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 171² with (1+7+1)² or (170+1)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 error.
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 171
Problem 1
Find the length of the square, where the area of the square is 29241 cm².
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.
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?
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.
Problem 3
Find the area of a circle whose radius is 171 meters.
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.
Problem 4
The area of the square is 298116 cm². Find the perimeter of the square.
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.
Problem 5
Find the square of 172.
The square of 172 is 29584
Explanation
The square of 172 is multiplying 172 by 172.
So, the square = 172 × 172 = 29584
FAQs on Square of 171
1.What is the square of 171?
2.What is the square root of 171?
3.Is 171 a prime number?
4.What are the first few multiples of 171?
5.What is the square of 170?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 171?
8.How do technology and digital tools in Thailand support learning Algebra and Square of 171?
9.Does learning Algebra support future career opportunities for students in Thailand?
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.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 171
About BrightChamps in Thailand
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.
