132 LearnersLast updated on May 26th, 2025
Square of 868
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 868.
What is the Square of 868
The square of a number is the product of the number by itself. The square of 868 is 868 × 868. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 868², where 868 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 868 is 868 × 868 = 753424.
Square of 868 in exponential form: 868²
Square of 868 in arithmetic form: 868 × 868
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
How to Calculate the Value of Square of 868
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 868.
Step 1: Identify the number. Here, the number is 868.
Step 2: Multiplying the number by itself, we get, 868 × 868 = 753424.
The square of 868 is 753424.
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 868.
So: 868² = 868 × 868 = 753424
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 868.
Step 1: Enter the number in the calculator. Enter 868 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 868 × 868.
Step 3: Press the equal to button to find the answer. Here, the square of 868 is 753424.
Tips and Tricks for the Square of 868
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 868
Mistakes are common among kids when doing math, especially when it comes to 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 swap 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 when using the formula:
The formula to find the square of the number is a². Instead, students may use 868² with (8 + 68)² or (800 + 68)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 errors.
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.
Level Up with a Math Certification!
2X Faster Learning (Grades 1-12)
Solved Examples on Square of 868
Problem 1
Find the length of the square, where the area of the square is 753424 cm².
The area of a square = a²
So, the area of a square = 753424 cm²
So, the length = √753424 = 868.
The length of each side = 868 cm
Explanation
The length of a square is 868 cm.
Because the area is 753424 cm², the length is √753424 = 868.
Problem 2
A contractor is planning to tile a square floor with a length of 868 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 868 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor.
Area of the floor = area of the square = a²
Here a = 868
Therefore, the area of the floor = 868² = 868 × 868 = 753424.
The cost to tile the floor = 753424 × 5 = 3767120.
The total cost = 3767120 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 3767120 dollars.
Problem 3
Find the area of a circle whose radius is 868 meters.
The area of the circle = 2,367,064.64 m²
Explanation
The area of a circle = πr²
Here, r = 868
Therefore, the area of the circle = π × 868² = 3.14 × 868 × 868 = 2,367,064.64 m².
Problem 4
The area of the square is 753424 cm². Find the perimeter of the square.
The perimeter of the square is 3472 cm.
Explanation
The area of the square = a²
Here, the area is 753424 cm²
The length of the side is √753424 = 868
Perimeter of the square = 4a
Here, a = 868
Therefore, the perimeter = 4 × 868 = 3472 cm.
Problem 5
Find the square of 869.
The square of 869 is 755161
Explanation
The square of 869 is multiplying 869 by 869. So, the square = 869 × 869 = 755161
Turn your child into a math star!
#1 Math Hack Schools Won't Teach!
FAQs on Square of 868
1.What is the square of 868?
2.What is the square root of 868?
3.Is 868 a perfect square?
4.What are the first few multiples of 868?
5.What is the square of 867?
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Important Glossaries for Square of 868.
- Square: The result of multiplying a number by itself. For example, the square of 4 is 16.
- Even number: A number divisible by 2, such as 2, 4, 6, 8.
- Perfect square: A number that has an integer as its square root, such as 1, 4, 9, 16.
- Exponent: The power to which a number is raised, as in 9², where 2 is the exponent.
- Multiplication: The mathematical operation of scaling one number by another, as in 3 × 3 = 9.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 868
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.
