130 LearnersLast updated on May 30th, 2025
Square of 214
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 214.
What is the Square of 214
The square of a number is the product of the number itself.
The square of 214 is 214 × 214.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 214², where 214 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 214 is 214 × 214 = 45,796.
Square of 214 in exponential form: 214²
Square of 214 in arithmetic form: 214 × 214
How to Calculate the Value of Square of 214
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 214.
Step 1: Identify the number. Here, the number is 214.
Step 2: Multiplying the number by itself, we get, 214 × 214 = 45,796.
The square of 214 is 45,796.
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 214
So: 214² = 214 × 214 = 45,796
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 214.
Step 1: Enter the number in the calculator Enter 214 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 214 × 214
Step 3: Press the equal to button to find the answer
Here, the square of 214 is 45,796.
Tips and Tricks for the Square of 214
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 214
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 will be using the formula
The formula to find the square of the number is a². Instead, students may use 214² with (200+14)² or (210+4)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 214
Problem 1
Find the side length of the square, where the area of the square is 45,796 cm².
The area of a square = a² So, the area of a square = 45,796 cm² So, the length = √45,796 = 214. The length of each side = 214 cm
Explanation
The length of a square is 214 cm.
Because the area is 45,796 cm² the length is √45,796 = 214.
Problem 2
Rachel is planning to paint her square garden wall of length 214 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 214 feet The cost to paint 1 square foot of wall = 2 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 = 214 Therefore, the area of the wall = 214² = 214 × 214 = 45,796. The cost to paint the wall = 45,796 × 2 = 91,592. The total cost = 91,592 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 91,592 dollars.
Problem 3
Find the area of a circle whose radius is 214 meters.
The area of the circle = 143,836.64 m²
Explanation
The area of a circle = πr²
Here, r = 214
Therefore, the area of the circle = π × 214² = 3.14 × 214 × 214 = 143,836.64 m².
Problem 4
The area of the square is 21,476 cm². Find the perimeter of the square.
The perimeter of the square is 588 cm.
Explanation
The area of the square = a²
Here, the area is 21,476 cm²
The length of the side is √21,476 = 146
Perimeter of the square = 4a
Here, a = 146
Therefore, the perimeter = 4 × 146 = 584.
Problem 5
Find the square of 215.
The square of 215 is 46,225.
Explanation
The square of 215 is multiplying 215 by 215.
So, the square = 215 × 215 = 46,225.
FAQs on Square of 214
1.What is the square of 214?
2.What is the square root of 214?
3.Is 214 a prime number?
4.What are the first few multiples of 214?
5.What is the square of 213?
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 214?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 214?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square of 214
- Even number: A number divisible by 2 without a remainder. For example, 2, 4, 6, 8, etc.
- Odd number: A number not divisible by 2, leaving a remainder of 1. For example, 1, 3, 5, 7, etc.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
- Exponential form: A way of expressing a number using a base and an exponent. For example, 214².
- Square root: The inverse operation of squaring a number. For example, the square root of 36 is 6.
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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.
