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Last updated on May 30th, 2025

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Square of 798

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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.

Square of 798 for Indian Students
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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

square of 798

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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
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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.

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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

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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.
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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

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Calculation errors:

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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.

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Solved Examples on Square of 798

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Problem 1

Find the length of a square, where the area of the square is 636804 cm².

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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.

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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?

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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.

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Problem 3

Find the area of a circle whose radius is 798 meters.

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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.

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Problem 4

The area of the square is 636804 cm². Find the perimeter of the square.

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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.

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Problem 5

Find the square of 799.

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The square of 799 is 638401

Explanation

The square of 799 is multiplying 799 by 799.

So, the square = 799 × 799 = 638401

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FAQs on Square of 798

1.What is the square of 798?

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2.What is the square root of 798?

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3.Is 798 a perfect square?

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4.What are the first few multiples of 798?

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5.What is the square of 800?

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6.How does learning Algebra help students in India make better decisions in daily life?

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7.How can cultural or local activities in India support learning Algebra topics such as Square of 798?

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8.How do technology and digital tools in India support learning Algebra and Square of 798?

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9.Does learning Algebra support future career opportunities for students in India?

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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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About BrightChamps in India

At BrightChamps, we believe algebra is more than just numbers—it’s a key to countless opportunities! Our purpose is to help children throughout India master vital math skills, such as today’s focus on the Square of 798 with special emphasis on understanding squares—in an engaging, fun, and easy-to-follow manner. Whether your child is calculating how fast a train passes by, tracking scores in a Cricket match, or managing pocket money to buy the latest gadgets, a solid understanding of algebra gives them the confidence to tackle everyday tasks. Our interactive lessons make learning both enjoyable and simple. Because children in India learn in diverse ways, we tailor our teaching methods to each child’s style. From the bustling markets of Mumbai to Delhi’s vibrant streets, BrightChamps makes math relevant and exciting throughout India. Let’s turn squares into a joyful part of every child’s math journey!
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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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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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