123 LearnersLast updated on June 1st, 2025
Square of 216
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 216.
What is the Square of 216
The square of a number is the product of the number itself.
The square of 216 is 216 × 216.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 216², where 216 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 216 is 216 × 216 = 46,656.
Square of 216 in exponential form: 216²
Square of 216 in arithmetic form: 216 × 216
How to Calculate the Value of Square of 216
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 216.
Step 1: Identify the number. Here, the number is 216.
Step 2: Multiplying the number by itself, we get, 216 × 216 = 46,656.
The square of 216 is 46,656.
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 216.
So: 216² = 216 × 216 = 46,656
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 216.
Step 1: Enter the number in the calculator. Enter 216 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 216 × 216.
Step 3: Press the equal-to button to find the answer.
Here, the square of 216 is 46,656.
Tips and Tricks for the Square of 216
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 216
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 swap 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 use 216² with (21 + 6)² or (210 + 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 errors.
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 216
Problem 1
Find the length of a square where the area of the square is 46,656 cm².
The area of a square = a² So, the area of a square = 46,656 cm² So, the length = √46,656 = 216. The length of each side = 216 cm
Explanation
The length of a square is 216 cm.
Because the area is 46,656 cm², the length is √46,656 = 216.
Problem 2
A rectangular garden has a length of 216 meters and a width of 100 meters. Calculate the area of the garden.
The length of the garden = 216 meters The width of the garden = 100 meters Area of the garden = length × width Area = 216 × 100 = 21,600 square meters
Explanation
To find the area of a rectangle, multiply the length by the width.
So, the area of the garden is 21,600 square meters.
Problem 3
Find the area of a circle whose radius is 216 meters.
The area of the circle = 146,778.24 m²
Explanation
The area of a circle = πr²
Here, r = 216
Therefore, the area of the circle = π × 216² = 3.14 × 216 × 216 = 146,778.24 m².
Problem 4
The area of a square is 46,656 cm². Find the perimeter of the square.
The perimeter of the square is 864 cm.
Explanation
The area of the square = a²
Here, the area is 46,656 cm²
The length of the side is √46,656 = 216
Perimeter of the square = 4a
Here, a = 216
Therefore, the perimeter = 4 × 216 = 864 cm.
Problem 5
Find the square of 217.
The square of 217 is 47,089.
Explanation
The square of 217 is multiplying 217 by 217.
So, the square = 217 × 217 = 47,089
FAQs on Square of 216
1.What is the square of 216?
2.What is the square root of 216?
3.Is 216 a perfect square?
4.What are the first few multiples of 216?
5.What is the square of 215?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Square of 216?
8.How do technology and digital tools in Thailand support learning Algebra and Square of 216?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Square of 216
- Even number: An integer that is divisible by 2. For example, 2, 4, 6, 8, 10, …
- Exponent: The power to which a number is raised in exponential notation. For example, in 216², 2 is the exponent.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Square: The product of a number multiplied by itself. For example, the square of 5 is 25.
- 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 number. For example, the square root of 144 is 12.
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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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
