137 LearnersLast updated on May 27th, 2025
Square of 795
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.
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
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
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.
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
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.
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
Calculation errors
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.
Mistake 2
Errors using the formula
The formula to find the square of the number is a². Instead, students may use 795² with (7 + 9 + 5)² or (790 + 5)². Students should check and use the correct formula and double-check answers to avoid confusion.
Mistake 3
Confusing square and square root
Not understanding the concept of square and square root can lead to confusion. 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 parentheses when finding the square of a number can lead to errors. Students should understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 795
Problem 1
Find the length of a square, where the area of the square is 632,025 cm².
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.
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?
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.
Problem 3
Find the area of a circle whose radius is 795 meters.
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.
Problem 4
The area of a square is 795² cm². Find the perimeter of the square.
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.
Problem 5
Find the square of 796.
The square of 796 is 633,616.
Explanation
The square of 796 is multiplying 796 by 796.
So, the square = 796 × 796 = 633,616.
FAQs on Square of 795
1.What is the square of 795?
2.What is the square root of 795?
3.Is 795 a prime number?
4.What are the first few multiples of 795?
5.What is the square of 794?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 795?
8.How do technology and digital tools in United States support learning Algebra and Square of 795?
9.Does learning Algebra support future career opportunities for students in United States?
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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Jaskaran Singh Saluja
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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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