126 LearnersLast updated on May 30th, 2025
Square of 210
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 210.
What is the Square of 210
The square of a number is the product of the number with itself.
The square of 210 is 210 × 210.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 210², where 210 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 210 is 210 × 210 = 44100.
Square of 210 in exponential form: 210²
Square of 210 in arithmetic form: 210 × 210
How to Calculate the Value of Square of 210
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 210.
Step 1: Identify the number. Here, the number is 210.
Step 2: Multiplying the number by itself, we get, 210 × 210 = 44100.
The square of 210 is 44100.
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 210.
So: 210² = 210 × 210 = 44100
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 210.
Step 1: Enter the number in the calculator Enter 210 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 210 × 210.
Step 3: Press the equal to button to find the answer
Here, the square of 210 is 44100.
Tips and Tricks for the Square of 210
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 210
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 210 is 44100, and the square root of 44100 is ±210.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 210² with (21 + 0)² or (200 + 10)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 210
Problem 1
Find the length of the square, where the area of the square is 44100 cm².
The area of a square = a² So, the area of a square = 44100 cm² So, the length = √44100 = 210. The length of each side = 210 cm.
Explanation
The length of a square is 210 cm.
Because the area is 44100 cm² the length is √44100 = 210.
Problem 2
Sarah wants to tile her square patio of length 210 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full patio?
The length of the patio = 210 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 210 Therefore, the area of the patio = 210² = 210 × 210 = 44100. The cost to tile the patio = 44100 × 5 = 220500. The total cost = 220500 dollars.
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot.
So, the total cost is 220500 dollars.
Problem 3
Find the area of a circle whose radius is 210 meters.
The area of the circle = 138544.64 m²
Explanation
The area of a circle = πr²
Here, r = 210
Therefore, the area of the circle = π × 210² = 3.14 × 210 × 210 = 138544.64 m².
Problem 4
The area of the square is 44100 cm². Find the perimeter of the square.
The perimeter of the square is 840 cm.
Explanation
The area of the square = a²
Here, the area is 44100 cm²
The length of the side is √44100 = 210
Perimeter of the square = 4a
Here, a = 210
Therefore, the perimeter = 4 × 210 = 840 cm.
Problem 5
Find the square of 211.
The square of 211 is 44521.
Explanation
The square of 211 is multiplying 211 by 211.
So, the square = 211 × 211 = 44521.
FAQs on Square of 210
1.What is the square of 210?
2.What is the square root of 210?
3.Is 210 a prime number?
4.What are the first few multiples of 210?
5.What is the square of 209?
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 210?
8.How do technology and digital tools in United States support learning Algebra and Square of 210?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 210.
- Perfect Square: A number that is the square of an integer. For example, 44100 is a perfect square because it is 210².
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 210², 2 is the exponent.
- Square Root: The square root is a value that, when multiplied by itself, gives the original number. For example, the square root of 44100 is 210.
- Even Number: A number divisible by 2 with no remainder. For example, 210 is an even number.
- Multiplication: The mathematical operation of scaling one number by another. For example, 210 × 210 = 44100.
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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.
