105 LearnersLast updated on May 26th, 2025
Square of 847
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 847.
What is the Square of 847
The square of a number is the product of the number itself. The square of 847 is 847 × 847. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (847²), where 847 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, (52 = 25); ((-5)2 = 25)
The square of 847 is 847 × 847 = 717,409.
Square of 847 in exponential form: (8472)
Square of 847 in arithmetic form: 847 × 847
How to Calculate the Value of Square of 847
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 847.
Step 1: Identify the number. Here, the number is 847.
Step 2: Multiplying the number by itself, we get, 847 × 847 = 717,409.
The square of 847 is 717,409.
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 847. So: (8472 = 847 × 847 = 717,409)
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 847.
Step 1: Enter the number in the calculator. Enter 847 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 847 × 847
Step 3: Press the equal to button to find the answer. Here, the square of 847 is 717,409.
Tips and Tricks for the Square of 847
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 847
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 847
Problem 1
Find the length of the square, where the area of the square is 717,409 cm².
The area of a square = (a2)
So, the area of a square = 717,409 cm²
So, the length = ( √717,409= 847).
The length of each side = 847 cm
Explanation
The length of a square is 847 cm. Because the area is 717,409 cm², the length is ( √717,409} = 847).
Problem 2
Lisa is planning to tile her square floor of length 847 feet. The cost to tile a foot is 3 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 847 feet
The cost to tile 1 square foot of floor = 3 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 = 847
Therefore, the area of the floor = (8472 = 847 × 847 = 717,409\).
The cost to tile the floor = 717,409 × 3 = 2,152,227.
The total cost = 2,152,227 dollars.
Explanation
To find the cost to tile the floor, we multiply the area of the floor by cost to tile per foot. So, the total cost is 2,152,227 dollars.
Problem 3
Find the area of a circle whose radius is 847 meters.
The area of the circle = 2,253,070.29 m²
Explanation
The area of a circle = (pi r2)
Here, r = 847
Therefore, the area of the circle = (pi × 8472) = (3.14 × 847 × 847 = 2,253,070.29) m².
Problem 4
The area of the square is 71,740,900 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = (a2)
Here, the area is 71,740,900 cm²
The length of the side is ( √71,740,900} = 847)
Perimeter of the square = 4a
Here, a = 847
Therefore, the perimeter = 4 × 847 = 3,388.
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.
FAQs on Square of 847
1.What is the square of 847?
2.What is the square root of 847?
3.Is 847 a prime number?
4.What are the first few multiples of 847?
5.What is the square of 846?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 847?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 847?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 847.
- Prime number: Any number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 11, …
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, (92) where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because (62 = 36).
- Multiplication method: A method of finding the square by multiplying the number by itself.
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About BrightChamps in Vietnam
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.
