125 LearnersLast updated on June 3rd, 2025
Square of 30
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 30.
What is the Square of 30
The square of a number is the product of the number with itself. The square of 30 is 30 × 30. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 30², where 30 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 30 is 30 × 30 = 900.
Square of 30 in exponential form: 30²
Square of 30 in arithmetic form: 30 × 30
How to Calculate the Value of Square of 30
The square of a number is obtained by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 30.
Step 1: Identify the number. Here, the number is 30.
Step 2: Multiplying the number by itself, we get: 30 × 30 = 900.
The square of 30 is 900.
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 30.
So: 30² = 30 × 30 = 900
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 30.
Step 1: Enter the number in the calculator. Enter 30 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 30 × 30.
Step 3: Press the equal to button to find the answer. Here, the square of 30 is 900.
Tips and Tricks for the Square of 30
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 30
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 30² with (3 + 0)² or (20 + 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 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 30
Problem 1
Find the length of the square, where the area of the square is 900 cm².
The area of a square = a²
So, the area of a square = 900 cm²
So, the length = √900 = 30.
The length of each side = 30 cm
Explanation
The length of a square is 30 cm.
Because the area is 900 cm², the length is √900 = 30.
Problem 2
Anna is planning to paint her square wall of length 30 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 = 30 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 = 30
Therefore, the area of the wall = 30² = 30 × 30 = 900.
The cost to paint the wall = 900 × 5 = 4500.
The total cost = 4500 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 4500 dollars.
Problem 3
Find the area of a circle whose radius is 30 meters.
The area of the circle = 2826 m²
Explanation
The area of a circle = πr²
Here, r = 30
Therefore, the area of the circle = π × 30²
= 3.14 × 30 × 30
= 2826 m².
Problem 4
The area of the square is 900 cm². Find the perimeter of the square.
The perimeter of the square is 120 cm.
Explanation
The area of the square = a²
Here, the area is 900 cm²
The length of the side is √900 = 30
Perimeter of the square = 4a
Here, a = 30
Therefore, the perimeter = 4 × 30 = 120.
Problem 5
Find the square of 31.
The square of 31 is 961
Explanation
The square of 31 is multiplying 31 by 31. So, the square = 31 × 31 = 961
FAQs on Square of 30
1.What is the square of 30?
2.What is the square root of 30?
3.Is 30 a prime number?
4.What are the first few multiples of 30?
5.What is the square of 29?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 30?
8.How do technology and digital tools in Australia support learning Algebra and Square of 30?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 30.
- Square: The result of multiplying a number by itself. For example, the square of 5 is 25.
- Exponential form: A way of writing numbers using a base and an exponent. For example, 9² where 9 is the base and 2 is the exponent.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Calculator: A device used for performing mathematical calculations.
- Perimeter: The total length around the boundary of a two-dimensional shape. For example, the perimeter of a square is 4 times the length of one side.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 30
About BrightChamps in Australia
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.
