134 LearnersLast updated on June 3rd, 2025
Square of 26
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 26.
What is the Square of 26
The square of a number is the product of the number with itself. The square of 26 is 26 × 26. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 26², where 26 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 26 is 26 × 26 = 676.
Square of 26 in exponential form: 26²
Square of 26 in arithmetic form: 26 × 26
How to Calculate the Value of Square of 26
The square of a number is obtained by multiplying the number by itself. Let's explore 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 multiply the number by itself to find the square. The product here is the square of the number. Let's find the square of 26:
Step 1: Identify the number. Here, the number is 26.
Step 2: Multiplying the number by itself, we get, 26 × 26 = 676.
The square of 26 is 676.
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 26.
So: 26² = 26 × 26 = 676
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 26.
Step 1: Enter the number in the calculator Enter 26 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 26 × 26
Step 3: Press the equal to button to find the answer Here, the square of 26 is 676.
Tips and Tricks for the Square of 26
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 26
Mistakes are common among kids when doing math, especially when it involves 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 often occur when students skip steps or swap digits. To avoid this, students should double-check their 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 when using the formula.
The formula to find the square of the number is a². Instead, students may incorrectly use (2 + 6)² or (20 + 6)² for 26². Therefore, students should ensure they 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 for 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 parentheses when finding the square of a number can lead to errors. So, 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. So students should practice regularly to avoid errors.
Solved Examples on Square of 26
Problem 1
Find the length of the square, where the area of the square is 676 cm².
The area of a square = a²
So, the area of a square = 676 cm²
Thus, the length = √676 = 26.
The length of each side = 26 cm
Explanation
The length of a square is 26 cm. Because the area is 676 cm², the length is √676 = 26.
Problem 2
Sarah is planning to paint her square wall of length 26 feet. The cost to paint a foot is 5 dollars. How much will it cost to paint the full wall?
The length of the wall = 26 feet
The cost to paint 1 square foot of wall = 5 dollars.
To find the total cost to paint, we find the area of the wall,
Area of the wall = area of the square = a²
Here a = 26
Therefore, the area of the wall = 26² = 26 × 26 = 676.
The cost to paint the wall = 676 × 5 = 3380.
The total cost = 3380 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 3380 dollars.
Problem 3
Find the area of a circle whose radius is 26 meters.
The area of the circle = 2123.72 m²
Explanation
The area of a circle = πr²
Here, r = 26
Therefore, the area of the circle = π × 26²
= 3.14 × 26 × 26
= 2123.72 m².
Problem 4
The area of the square is 676 cm². Find the perimeter of the square.
The perimeter of the square is 104 cm.
Explanation
The area of the square = a²
Here, the area is 676 cm²
The length of the side is √676 = 26
Perimeter of the square = 4a
Here, a = 26
Therefore, the perimeter = 4 × 26 = 104.
Problem 5
Find the square of 27.
The square of 27 is 729.
Explanation
The square of 27 is found by multiplying 27 by 27.
So, the square = 27 × 27 = 729.
FAQs on Square of 26
1.What is the square of 26?
2.What is the square root of 26?
3.Is 26 a prime number?
4.What are the first few multiples of 26?
5.What is the square of 25?
Important Glossaries for Square of 26.
- Prime number: A number that is only divisible by 1 and itself. Examples include 2, 3, 5, 7, 11, etc.
- Exponential form: A way of expressing numbers as a base raised to a power. For example, 9² where 9 is the base and 2 is the exponent.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Multiplication method: A method to find the square of a number by multiplying it by itself, such as 26 × 26.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 26
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.
