130 LearnersLast updated on May 30th, 2025
Square of 838
The product of multiplying an integer by itself is the square of a number. The concept of squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 838.
What is the Square of 838
The square of a number is the product of the number itself.
The square of 838 is 838 × 838.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 838², where 838 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 838 is 838 × 838 = 702,244.
Square of 838 in exponential form: 838²
Square of 838 in arithmetic form: 838 × 838
How to Calculate the Value of Square of 838
The square of a number is obtained 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 838.
Step 1: Identify the number. Here, the number is 838.
Step 2: Multiply the number by itself, we get, 838 × 838 = 702,244.
The square of 838 is 702,244.
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: Identify the number and substitute the value in the equation.
Here, ‘a’ is 838.
So: 838² = 838 × 838 = 702,244
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 838.
Step 1: Enter the number in the calculator. Enter 838 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 838 × 838.
Step 3: Press the equal to button to find the answer.
Here, the square of 838 is 702,244.
Tips and Tricks for the Square of 838
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 838
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 these errors, 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 with using the formula.
The formula to find the square of a number is a². Instead, students may use 838² with (8+3+8)² or (800+30+8)². Students should verify and use the correct formula and double-check the answers to avoid 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 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 and use parentheses correctly, performing 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.
Solved Examples on Square of 838
Problem 1
Find the length of the square, where the area of the square is 702,244 cm².
The area of a square = a² So, the area of a square = 702,244 cm² So, the length = √702,244 = 838. The length of each side = 838 cm
Explanation
The length of a square is 838 cm.
Because the area is 702,244 cm², the length is √702,244 = 838.
Problem 2
Alice is planning to tile her square garden of length 838 feet. The cost to tile a foot is 4 dollars. Then how much will it cost to tile the entire garden?
The length of the garden = 838 feet The cost to tile 1 square foot of garden = 4 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 = 838 Therefore, the area of the garden = 838² = 838 × 838 = 702,244. The cost to tile the garden = 702,244 × 4 = 2,808,976. The total cost = 2,808,976 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 2,808,976 dollars.
Problem 3
Find the area of a circle whose radius is 838 meters.
The area of the circle = 2,206,248.77 m²
Explanation
The area of a circle = πr²
Here, r = 838
Therefore, the area of the circle = π × 838² = 3.14 × 838 × 838 = 2,206,248.77 m².
Problem 4
The area of the square is 702,244 cm². Find the perimeter of the square.
The perimeter of the square is 3,352 cm.
Explanation
The area of the square = a²
Here, the area is 702,244 cm²
The length of the side is √702,244 = 838
Perimeter of the square = 4a
Here, a = 838
Therefore, the perimeter = 4 × 838 = 3,352 cm.
Problem 5
Find the square of 839.
The square of 839 is 703,921.
Explanation
The square of 839 is multiplying 839 by 839.
So, the square = 839 × 839 = 703,921.
FAQs on Square of 838
1.What is the square of 838?
2.What is the square root of 838?
3.Is 838 a prime number?
4.What are the first few multiples of 838?
5.What is the square of 837?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 838?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 838?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square 838.
- Square: The product of a number multiplied by itself. For example, the square of 7 is 49.
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponent: A number that represents how many times the base is multiplied by itself. In 8², 2 is the exponent.
- Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 3 is a prime number.
- Multiplication: The process of calculating the total of one number added to itself a specified number of times. For example, 3 × 4 = 12.
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About BrightChamps in Qatar
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.
