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Last updated on May 27th, 2025

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Square of 795

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The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 795.

Square of 795 for US Students
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What is the Square of 795

The square of a number is the product of the number with itself.

 

The square of 795 is 795 × 795.

 

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 795², where 795 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 795 is 795 × 795 = 632,025.

 

Square of 795 in exponential form: 795²

 

Square of 795 in arithmetic form: 795 × 795

square of 795

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How to Calculate the Value of Square of 795

The square of a number is found 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 (a2)
     
  • Using a Calculator
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By the Multiplication Method

In this method, we multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 795:

 

Step 1: Identify the number. Here, the number is 795.

 

Step 2: Multiply the number by itself: 795 × 795 = 632,025.

 

The square of 795 is 632,025.

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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: Understand 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 795. So: 795² = 795 × 795 = 632,025

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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 795.

 

Step 1: Enter the number in the calculator. Enter 795 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 795 × 795.

 

Step 3: Press the equal button to find the answer. Here, the square of 795 is 632,025.

 

Tips and Tricks for the Square of 795

 

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 795

Mistakes are common among kids when doing math, especially when 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 steps or swap digits. To avoid this, students should double-check answers. 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 795

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Problem 1

Find the length of a square, where the area of the square is 632,025 cm².

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The area of a square = a²

So, the area of a square = 632,025 cm²

So, the length = √632,025 = 795.

The length of each side = 795 cm

Explanation

The length of a square is 795 cm.

Because the area is 632,025 cm², the length is √632,025 = 795.

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Problem 2

Sarah wants to carpet her square living room of length 795 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the entire room?

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The length of the room = 795 feet

The cost to carpet 1 square foot of the room = 5 dollars.

To find the total cost to carpet, we find the area of the room,

Area of the room = area of the square = a²

Here a = 795

Therefore, the area of the room = 795² = 795 × 795 = 632,025.

The cost to carpet the room = 632,025 × 5 = 3,160,125.

The total cost = 3,160,125 dollars

Explanation

To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.

So, the total cost is 3,160,125 dollars.

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Problem 3

Find the area of a circle whose radius is 795 meters.

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The area of the circle = 1,985,945.25 m²

Explanation

The area of a circle = πr²

Here, r = 795

Therefore, the area of the circle = π × 795² = 3.14 × 795 × 795 = 1,985,945.25 m².

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Problem 4

The area of a square is 795² cm². Find the perimeter of the square.

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The perimeter of the square is 3,180 cm.

Explanation

The area of the square = a²

Here, the area is 795² cm²

The length of the side is √795² = 795

Perimeter of the square = 4a

Here, a = 795

Therefore, the perimeter = 4 × 795 = 3,180 cm.

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Max, the Girl Character from BrightChamps

Problem 5

Find the square of 796.

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The square of 796 is 633,616.

Explanation

The square of 796 is multiplying 796 by 796.

So, the square = 796 × 796 = 633,616.

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FAQs on Square of 795

1.What is the square of 795?

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2.What is the square root of 795?

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3.Is 795 a prime number?

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4.What are the first few multiples of 795?

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5.What is the square of 794?

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

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7.How can cultural or local activities in United States support learning Algebra topics such as Square of 795?

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8.How do technology and digital tools in United States support learning Algebra and Square of 795?

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

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Important Glossaries for Square 795

  • Perfect square: A number that is the square of an integer. For example, 25 is a perfect square because it is 5².

 

  • Square: The product of a number multiplied by itself.

 

  • Area: The measure of the surface enclosed by a shape, calculated for squares using side length squared.

 

  • Perimeter: The total length around a shape, calculated for squares as 4 times the side length.

 

  • Exponent: In mathematics, an exponent refers to the number of times a number, the base, is multiplied by itself. For example, in 2³, 3 is the exponent.
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About BrightChamps in United States

At BrightChamps, we understand that algebra is more than just symbols—it's a gateway to endless possibilities! Our goal is to help children all over the United States master key math concepts, such as today’s lesson on the Square of 795 with a special emphasis on grasping squares—in an engaging, fun, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score at a Little League baseball game, or budgeting their allowance for the newest gadgets, having a solid grasp of algebra builds the confidence they need for daily life. Our hands-on lessons are designed to make learning both simple and enjoyable. Since children across the USA learn in diverse ways, we customize our methods to suit each individual learner. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it relevant and exciting nationwide. Let’s make squares an exciting part of every child’s math adventure!
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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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