121 LearnersLast updated on June 3rd, 2025
Square of 36
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 36.
What is the Square of 36
The square of a number is the product of the number itself. The square of 36 is 36 × 36. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 36², where 36 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 36 is 36 × 36 = 1296.
Square of 36 in exponential form: 36²
Square of 36 in arithmetic form: 36 × 36
How to Calculate the Value of Square of 36
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 36
Step 1: Identify the number. Here, the number is 36
Step 2: Multiplying the number by itself, we get, 36 × 36 = 1296.
The square of 36 is 1296.
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 36
So: 36² = 36 × 36 = 1296
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 36.
Step 1: Enter the number in the calculator Enter 36 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 36 × 36
Step 3: Press the equal to button to find the answer Here, the square of 36 is 1296.
Tips and Tricks for the Square of 36
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 36
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 when using the formula.
The formula to find the square of the number is a². Instead, students may confuse it with (3 + 6)² or (30 + 6)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 36
Problem 1
Find the length of the square, where the area of the square is 1296 cm².
The area of a square = a²
So, the area of a square = 1296 cm²
So, the length = √1296 = 36.
The length of each side = 36 cm
Explanation
The length of a square is 36 cm. Because the area is 1296 cm², the length is √1296 = 36.
Problem 2
A square garden has a side length of 36 meters. If the cost to lay grass is 5 dollars per square meter, how much will it cost to cover the entire garden with grass?
The length of the garden = 36 meters
The cost to cover 1 square meter of garden = 5 dollars.
To find the total cost to cover, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 36 y
Therefore, the area of the garden = 36² = 36 × 36 = 1296.
The cost to cover the garden = 1296 × 5 = 6480.
The total cost = 6480 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per square meter. So, the total cost is 6480 dollars.
Problem 3
Find the area of a circle whose radius is 36 meters.
The area of the circle = 4071.5 m²
Explanation
The area of a circle = πr²
Here, r = 36
Therefore, the area of the circle = π × 36²
= 3.14 × 36 × 36
= 4071.5 m².
Problem 4
The area of the square is 1296 cm². Find the perimeter of the square.
The perimeter of the square is 144 cm.
Explanation
The area of the square = a²
Here, the area is 1296 cm²
The length of the side is √1296 = 36
Perimeter of the square = 4a
Here, a = 36
Therefore, the perimeter = 4 × 36 = 144.
Problem 5
Find the square of 35.
The square of 35 is 1225.
Explanation
The square of 35 is multiplying 35 by 35.
So, the square = 35 × 35 = 1225
FAQs on Square of 36
1.What is the square of 36?
2.What is the square root of 36?
3.Is 36 a perfect square?
4.What are the first few multiples of 36?
5.What is the square of 37?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 36?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 36?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 36.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Square: The result of multiplying a number by itself. For example, the square of 6 is 36.
- Square root: The value that, when multiplied by itself, gives the original number. The square root of 36 is 6.
- Exponential form: A way of expressing numbers using a base and an exponent. For example, 36² is an exponential form.
- Perimeter: The total length of the sides of a two-dimensional shape. For a square with side length a, the perimeter is 4a.
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About BrightChamps in Singapore
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.
