126 LearnersLast updated on May 26th, 2025
Square of 871
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 871.
What is the Square of 871
The square of a number is the product of the number itself. The square of 871 is 871 × 871. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 871², where 871 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 871 is 871 × 871 = 758,641.
Square of 871 in exponential form: 871²
Square of 871 in arithmetic form: 871 × 871
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How to Calculate the Value of Square of 871
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 871
Step 1: Identify the number. Here, the number is 871
Step 2: Multiplying the number by itself, we get, 871 × 871 = 758,641.
The square of 871 is 758,641.
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 871 So: 871² = 871 × 871 = 758,641
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 871.
Step 1: Enter the number in the calculator Enter 871 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 871 × 871
Step 3: Press the equal to button to find the answer Here, the square of 871 is 758,641.
Tips and Tricks for the Square of 871
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 871
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 871² with (8 + 7 + 1)² or (800 + 70 + 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.
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Solved Examples on Square of 871
Problem 1
Find the length of the square, where the area of the square is 758,641 cm².
The area of a square = a²
So, the area of a square = 758,641 cm²
So, the length = √758,641 = 871.
The length of each side = 871 cm
Explanation
The length of a square is 871 cm. Because the area is 758,641 cm² the length is √758,641 = 871.
Problem 2
Sarah wants to carpet her square living room of length 871 feet. The cost of carpeting per square foot is 5 dollars. How much will it cost to carpet the entire room?
The length of the room = 871 feet
The cost to carpet 1 square foot = 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 = 871
Therefore, the area of the room = 871² = 871 × 871 = 758,641.
The cost to carpet the room = 758,641 × 5 = 3,793,205.
The total cost = 3,793,205 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per square foot. So, the total cost is 3,793,205 dollars.
Problem 3
Find the area of a circle whose radius is 871 meters.
The area of the circle = 2,384,314.14 m²
Explanation
The area of a circle = πr²
Here, r = 871
Therefore, the area of the circle = π × 871² = 3.14 × 871 × 871 = 2,384,314.14 m².
Problem 4
The area of the square is 758,641 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 758,641 cm²
The length of the side is √758,641 = 871
Perimeter of the square = 4a
Here, a = 871
Therefore, the perimeter = 4 × 871 = 3,484.
Problem 5
Find the square of 872.
The square of 872 is 760,384
Explanation
The square of 872 is multiplying 872 by 872.
So, the square = 872 × 872 = 760,384
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FAQs on Square of 871
1.What is the square of 871?
2.What is the square root of 871?
3.Is 871 a prime number?
4.What are the first few multiples of 871?
5.What is the square of 870?
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Important Glossaries for Square 871.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, 25, etc.
- Square root: The number that produces a specified quantity when multiplied by itself.
- Multiplication method: A basic method to find the square of a number by multiplying it by itself.
- Exponential form: A way of representing numbers with a base and an exponent, such as 871².
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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.
