101 LearnersLast updated on May 26th, 2025
Square of 138
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 138.
What is the Square of 138
The square of a number is the product of the number itself. The square of 138 is 138 × 138. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 138², where 138 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 138 is 138 × 138 = 19,044. Square of 138 in exponential form: 138² Square of 138 in arithmetic form: 138 × 138
How to Calculate the Value of Square of 138
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 138.
Step 1: Identify the number. Here, the number is 138.
Step 2: Multiplying the number by itself, we get, 138 × 138 = 19,044. The square of 138 is 19,044.
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 138. So: 138² = 138 × 138 = 19,044
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 138.
Step 1: Enter the number in the calculator Enter 138 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 138 × 138
Step 3: Press the equal to button to find the answer Here, the square of 138 is 19,044.
Tips and Tricks for the Square of 138 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 138
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.
Solved Examples on Square of 138
Problem 1
A square garden has an area of 19,044 square meters. Find the length of one side of the garden.
The area of a square = a² So, the area of a square = 19,044 m² So, the length = √19,044 = 138. The length of each side = 138 meters
Explanation
The length of a side of the square garden is 138 meters.
Because the area is 19,044 m², the length is √19,044 = 138.
Problem 2
Sarah wants to carpet her square living room with a side length of 138 feet. The cost to carpet a square foot is 5 dollars. How much will it cost to carpet the entire room?
The length of the room = 138 feet The cost to carpet 1 square foot = 5 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 138 Therefore, the area of the room = 138² = 138 × 138 = 19,044. The cost to carpet the room = 19,044 × 5 = 95,220. The total cost = 95,220 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.
So, the total cost is 95,220 dollars.
Problem 3
Find the area of a circle whose radius is 138 meters.
The area of the circle = 59,862.84 m²
Explanation
The area of a circle = πr²
Here, r = 138
Therefore, the area of the circle = π × 138²
= 3.14 × 138 × 138
= 59,862.84 m².
Problem 4
The area of the square is 19,044 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 19,044 cm²
The length of the side is √19,044 = 138
Perimeter of the square = 4a
Here, a = 138
Therefore, the perimeter = 4 × 138 = 552.
Problem 5
Find the square of 139.
The square of 139 is 19,321
Explanation
The square of 139 is multiplying 139 by 139.
So, the square = 139 × 139 = 19,321
FAQs on Square of 138
1.What is the square of 138?
2.What is the square root of 138?
3.Is 138 a prime number?
4.What are the first few multiples of 138?
5.What is the square of 137?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 138?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 138?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square of 138.
- Square: The product of a number multiplied by itself. For example, 138² = 138 × 138 = 19,044.
- Exponential form: A way of expressing a number using a base and an exponent. For example, 138² where 138 is the base and 2 is the exponent.
- Square root: A value that, when multiplied by itself, gives the original number. For example, the square root of 19,044 is 138.
- Perfect square: A number that is the square of an integer. For example, 19,044 is a perfect square because it is 138².
- Calculation error: Mistakes that occur during the arithmetic operations, often due to missteps or incorrect operations.
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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.
