124 LearnersLast updated on May 26th, 2025
Square of 855
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 855.
What is the Square of 855
The square of a number is the product of the number itself. The square of 855 is 855 × 855. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 855², where 855 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 855 is 855 × 855 = 731025.
Square of 855 in exponential form: 855²
Square of 855 in arithmetic form: 855 × 855
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How to Calculate the Value of Square of 855
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 855.
Step 1: Identify the number. Here, the number is 855.
Step 2: Multiplying the number by itself, we get, 855 × 855 = 731025.
The square of 855 is 731025.
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 855. So: 855² = 855 × 855 = 731025
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 855.
Step 1: Enter the number in the calculator Enter 855 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 855 × 855.
Step 3: Press the equal to button to find the answer. Here, the square of 855 is 731025.
Tips and Tricks for the Square of 855
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 855
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 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 855² with (8 + 5 + 5)² or (800 + 55)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 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 855
Problem 1
Find the length of the square, where the area of the square is 731025 cm².
The area of a square = a²
So, the area of a square = 731025 cm²
So, the length = √731025 = 855.
The length of each side = 855 cm
Explanation
The length of a square is 855 cm.
Because the area is 731025 cm², the length is √731025 = 855.
Problem 2
Sarah is planning to tile her square floor with sides of 855 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 855 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 = 855
Therefore, the area of the floor = 855² = 855 × 855 = 731025.
The cost to tile the floor = 731025 × 5 = 3655125.
The total cost = 3655125 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 3655125 dollars.
Problem 3
Find the area of a circle whose radius is 855 meters.
The area of the circle = 2295309.25 m²
Explanation
The area of a circle = πr²
Here, r = 855
Therefore, the area of the circle = π × 855² = 3.14 × 855 × 855 = 2295309.25 m².
Problem 4
The area of the square is 731025 cm². Find the perimeter of the square.
The perimeter of the square is 3420 cm.
Explanation
The area of the square = a²
Here, the area is 731025 cm²
The length of the side is √731025 = 855
Perimeter of the square = 4a
Here, a = 855
Therefore, the perimeter = 4 × 855 = 3420 cm.
Problem 5
Find the square of 856.
The square of 856 is 732736.
Explanation
The square of 856 is multiplying 856 by 856.
So, the square = 856 × 856 = 732736.
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FAQs on Square of 855
1.What is the square of 855?
2.What is the square root of 855?
3.Is 855 a prime number?
4.What are the first few multiples of 855?
5.What is the square of 854?
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Important Glossaries for Square 855.
- Perfect Square: A number that is the square of an integer. For example, 731025 is a perfect square because it is 855 squared.
- Exponent: An exponent refers to the number of times a number, called the base, is multiplied by itself. For example, in 855², '2' is the exponent.
- Square root: The square root is the inverse operation of squaring a number. It gives the number which, when multiplied by itself, results in the original number.
- Calculator Method: A method of using electronic calculators to find squares easily by entering the number and using the square function.
- Multiplication Method: A straightforward technique to find the square of a number by multiplying the number by itself.
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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.
