107 LearnersLast updated on May 26th, 2025
Square of 849
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 849.
What is the Square of 849
The square of a number is the product of the number itself. The square of 849 is 849 × 849. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 849², where 849 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 849 is 849 × 849 = 720801.
Square of 849 in exponential form: 849²
Square of 849 in arithmetic form: 849 × 849
How to Calculate the Value of Square of 849
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 849.
Step 1: Identify the number. Here, the number is 849.
Step 2: Multiplying the number by itself, we get, 849 × 849 = 720801.
The square of 849 is 720801.
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 849. So: 849² = 849 × 849 = 720801
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 849.
Step 1: Enter the number in the calculator Enter 849 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 849 × 849
Step 3: Press the equal to button to find the answer Here, the square of 849 is 720801.
Tips and Tricks for the Square of 849
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 849
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.
Solved Examples on Square of 849
Problem 1
Find the length of the square, where the area of the square is 720801 cm².
The area of a square = a²
So, the area of a square = 720801 cm²
So, the length = √720801 = 849.
The length of each side = 849 cm
Explanation
The length of a square is 849 cm.
Because the area is 720801 cm²
the length is √720801 = 849.
Problem 2
Julia wants to tile her square floor of length 849 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 = 849 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 = 849
Therefore, the area of the floor = 849² = 849 × 849 = 720801.
The cost to tile the floor = 720801 × 5 = 3604005.
The total cost = 3604005 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 3604005 dollars.
Problem 3
Find the area of a circle whose radius is 849 meters.
The area of the circle = 2269823.06 m²
Explanation
The area of a circle = πr²
Here, r = 849
Therefore, the area of the circle = π × 849² = 3.14 × 849 × 849 = 2269823.06 m².
Problem 4
The area of the square is 720801 cm². Find the perimeter of the square.
The perimeter of the square is 3396 cm
Explanation
The area of the square = a²
Here, the area is 720801 cm²
The length of the side is √720801 = 849
Perimeter of the square = 4a
Here, a = 849
Therefore, the perimeter = 4 × 849 = 3396 cm.
Problem 5
Find the square of 850.
The square of 850 is 722500
Explanation
The square of 850 is multiplying 850 by 850.
So, the square = 850 × 850 = 722500
FAQs on Square of 849
1.What is the square of 849?
2.What is the square root of 849?
3.Is 849 a prime number?
4.What are the first few multiples of 849?
5.What is the square of 848?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 849?
8.How do technology and digital tools in United States support learning Algebra and Square of 849?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 849.
- Exponent: An exponent refers to the number of times a number is multiplied by itself, for example, in 849², 2 is the exponent.
- Perfect square: A perfect square is a number that is the square of an integer. For example, 144 is a perfect square as it is 12².
- Square root: The square root is a value that, when multiplied by itself, gives the original number, for example, √144 = 12.
- Prime number: A prime number is a number that has no divisors other than 1 and itself, for example, 37.
- Multiplication: Multiplication is the operation of scaling one number by another, for example, 849 × 849 = 720801.
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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.
