128 LearnersLast updated on May 26th, 2025
Square of 846
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 846.
What is the Square of 846
The square of a number is the product of the number itself. The square of 846 is 846 × 846. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 846², where 846 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 846 is 846 × 846 = 715,716.
Square of 846 in exponential form: 846²
Square of 846 in arithmetic form: 846 × 846
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How to Calculate the Value of Square of 846
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 846.
Step 1: Identify the number. Here, the number is 846.
Step 2: Multiplying the number by itself, we get, 846 × 846 = 715,716.
The square of 846 is 715,716.
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 846. So: 846² = 846 × 846 = 715,716
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 846.
Step 1: Enter the number in the calculator Enter 846 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 846 × 846
Step 3: Press the equal to button to find the answer Here, the square of 846 is 715,716.
Tips and Tricks for the Square of 846
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 846
Mistakes are common among learners when doing math, especially when it involves 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 this, 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 846² with (800 + 46)² or (84 + 6)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 this, 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 practice regularly to avoid errors.
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Solved Examples on Square of 846
Problem 1
A garden has a square area of 715,716 square meters. What is the length of each side of the garden?
The area of a square = a²
So, the area of a square = 715,716 m²
So, the length = √715,716 = 846.
The length of each side = 846 meters
Explanation
The length of the garden is 846 meters.
Because the area is 715,716 m², the length is √715,716 = 846.
Problem 2
A square-shaped field has a side length of 846 feet. If fencing costs 5 dollars per foot, how much will it cost to fence the entire field?
The length of the field = 846 feet
The cost to fence 1 foot of perimeter = 5 dollars.
To find the total cost to fence, we find the perimeter of the field,
Perimeter of the field = 4a
Here a = 846
Therefore, the perimeter = 4 × 846 = 3,384 feet.
The cost to fence the field = 3,384 × 5 = 16,920 dollars.
The total cost = 16,920 dollars
Explanation
To find the cost to fence the field, we multiply the perimeter of the field by the cost to fence per foot. So, the total cost is 16,920 dollars.
Problem 3
Find the area of a circle whose radius is 846 meters.
The area of the circle = 2,247,362.16 m²
Explanation
The area of a circle = πr²
Here, r = 846
Therefore, the area of the circle = π × 846² = 3.14 × 846 × 846 = 2,247,362.16 m².
Problem 4
The area of a square is 715,716 cm². Find the perimeter of the square.
The perimeter of the square is 3,384 cm
Explanation
The area of the square = a²
Here, the area is 715,716 cm²
The length of the side is √715,716 = 846
Perimeter of the square = 4a
Here, a = 846
Therefore, the perimeter = 4 × 846 = 3,384 cm.
Problem 5
Find the square of 850.
The square of 850 is 722,500
Explanation
The square of 850 is multiplying 850 by 850.
So, the square = 850 × 850 = 722,500
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FAQs on Square of 846
1.What is the square of 846?
2.What is the square root of 846?
3.Is 846 a perfect square?
4.What are the first few multiples of 846?
5.What is the square of 845?
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Important Glossaries for Square 846.
- Square: The result of multiplying a number by itself. For example, 846² = 715,716.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because 12² = 144.
- Prime Number: A number greater than 1 with no divisors other than 1 and itself.
- Exponent: The power to which a number is raised, as in 846², where 2 is the exponent.
- Square Root: The value that, when multiplied by itself, gives the original number, such as √715,716 = 846.
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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.
