106 LearnersLast updated on May 26th, 2025
Square of 841
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 841.
What is the Square of 841
The square of a number is the product of the number by itself. The square of 841 is 841 × 841. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 841², where 841 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 root of 841 is 29, so 29 × 29 = 841.
Square of 841 in exponential form: 841²
Square of 841 in arithmetic form: 29 × 29
How to Calculate the Value of Square of 841
The square of a number is calculated by multiplying the number by itself. 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 841.
Step 1: Identify the number. Here, the number is 29
Step 2: Multiplying the number by itself, we get, 29 × 29 = 841.
The square of 841 is 29 (since 29 × 29 = 841).
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 29 So: 29² = 29 × 29 = 841
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 841.
Step 1: Enter the number in the calculator Enter 29 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 29 × 29
Step 3: Press the equal-to button to find the answer Here, the square of 841 is 29 squared, which equals 841.
Tips and Tricks for the Square of 841
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 841
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 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.
Solved Examples on Square of 841
Problem 1
Find the side length of a square, where the area of the square is 841 cm².
The area of a square = a²
So, the area of a square = 841 cm²
So, the side length = √841 = 29.
The length of each side = 29 cm
Explanation
The side length of the square is 29 cm because the area is 841 cm², and the side length is √841 = 29.
Problem 2
Anna is planning to tile her square garden of side length 29 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full garden?
The side length of the garden = 29 feet
The cost to tile 1 square foot of garden = 5 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 29
Therefore, the area of the garden = 29² = 29 × 29 = 841.
The cost to tile the garden = 841 × 5 = 4205.
The total cost = 4205 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 4205 dollars.
Problem 3
Find the area of a circle whose radius is 29 meters.
The area of the circle = 2642.08 m²
Explanation
The area of a circle = πr²
Here, r = 29
Therefore, the area of the circle = π × 29² = 3.14 × 29 × 29 = 2642.08 m².
Problem 4
The perimeter of a square is 116 cm. Find the side length of the square.
The side length of the square is 29 cm.
Explanation
The perimeter of the square = 4a
Here, the perimeter is 116 cm
The side length is given by 116 ÷ 4 = 29 cm.
Problem 5
Find the square of 30.
The square of 30 is 900
Explanation
The square of 30 is multiplying 30 by 30.
So, the square = 30 × 30 = 900
FAQs on Square of 841
1.What is the square of 841?
2.What is the square root of 841?
3.Is 29 a prime number?
4.What are the first few multiples of 29?
5.What is the square of 28?
Important Glossaries for Square 841.
- Prime number: A number that is only divisible by 1 and the number itself. For example, 2, 3, 5, 7, 29, etc.
- Exponential form: 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 inverse operation of the square. The square root of a number is a value that, when multiplied by itself, gives the number.
- Perfect square: A number that is the square of an integer. For example, 841 is a perfect square because it is 29².
- Multiplication: A mathematical operation where a number is added to itself a certain number of times. For example, 4 × 3 = 12.
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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.
