132 LearnersLast updated on May 30th, 2025
Square of 798
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 798.
What is the Square of 798
The square of a number is the product of the number itself.
The square of 798 is 798 × 798.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 798², where 798 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 798 is 798 × 798 = 636804.
Square of 798 in exponential form: 798²
Square of 798 in arithmetic form: 798 × 798
How to Calculate the Value of Square of 798
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 798.
Step 1: Identify the number. Here, the number is 798.
Step 2: Multiplying the number by itself, we get, 798 × 798 = 636804.
The square of 798 is 636804.
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 798.
So: 798² = 798 × 798 = 636804
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 798.
Step 1: Enter the number in the calculator Enter 798 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 798 × 798
Step 3: Press the equal to button to find the answer
Here, the square of 798 is 636804.
Tips and Tricks for the Square of 798
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 798
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 798² with (7 + 9 + 8)² or (700 + 90 + 8)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, 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 error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 798
Problem 1
Find the length of a square, where the area of the square is 636804 cm².
The area of a square = a² So, the area of a square = 636804 cm² So, the length = √636804 = 798. The length of each side = 798 cm
Explanation
The length of a square is 798 cm.
Because the area is 636804 cm², the length is √636804 = 798.
Problem 2
Lisa is planning to tile her square kitchen floor of length 798 feet. The cost to tile a foot is 12 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 798 feet The cost to tile 1 square foot of floor = 12 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 = 798 Therefore, the area of the floor = 798² = 798 × 798 = 636804. The cost to tile the floor = 636804 × 12 = 7641648. The total cost = 7641648 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 7641648 dollars.
Problem 3
Find the area of a circle whose radius is 798 meters.
The area of the circle = 2000604.72 m²
Explanation
The area of a circle = πr²
Here, r = 798
Therefore, the area of the circle = π × 798² = 3.14 × 798 × 798 = 2000604.72 m².
Problem 4
The area of the square is 636804 cm². Find the perimeter of the square.
The perimeter of the square is 3192 cm
Explanation
The area of the square = a²
Here, the area is 636804 cm²
The length of the side is √636804 = 798
Perimeter of the square = 4a
Here, a = 798
Therefore, the perimeter = 4 × 798 = 3192.
Problem 5
Find the square of 799.
The square of 799 is 638401
Explanation
The square of 799 is multiplying 799 by 799.
So, the square = 799 × 799 = 638401
FAQs on Square of 798
1.What is the square of 798?
2.What is the square root of 798?
3.Is 798 a perfect square?
4.What are the first few multiples of 798?
5.What is the square of 800?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 798?
8.How do technology and digital tools in India support learning Algebra and Square of 798?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 798.
- Perfect Square: A number whose square root is an integer. For example, 16, 25, 36, etc.
- Even Number: An integer divisible by 2 without a remainder. For example, 2, 4, 6, 8, etc.
- Odd Number: An integer not divisible by 2. For example, 1, 3, 5, 7, etc.
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 2², 2 is the base and 2 is the exponent.
- Square: The product of a number multiplied by itself. For example, the square of 3 is 9.
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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.
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