Last updated on May 26th, 2025
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 the topic, we will discuss the square of 126.
The square of a number is the product of the number itself. The square of 126 is 126 × 126. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 126², where 126 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 126 is 126 × 126 = 15,876.
Square of 126 in exponential form: 126²
Square of 126 in arithmetic form: 126 × 126
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.
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 126.
Step 1: Identify the number. Here, the number is 126.
Step 2: Multiplying the number by itself, we get, 126 × 126 = 15,876. The square of 126 is 15,876.
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 126. So: 126² = 126 × 126 = 15,876
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 126.
Step 1: Enter the number in the calculator. Enter 126 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 126 × 126.
Step 3: Press the equal sign button to find the answer. Here, the square of 126 is 15,876.
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.
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.
Find the length of the square, where the area of the square is 15,876 cm².
The area of a square = a² So, the area of a square = 15,876 cm² So, the length = √15,876 = 126. The length of each side = 126 cm
The length of a square is 126 cm.
Because the area is 15,876 cm² the length is √15,876 = 126.
Anna wants to carpet her square room of length 126 feet. The cost to carpet a square foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 126 feet
The cost to carpet 1 square foot of room = 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 = 126
Therefore, the area of the room = 126² = 126 × 126 = 15,876.
The cost to carpet the room = 15,876 × 5 = 79,380.
The total cost = 79,380 dollars
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 79,380 dollars.
Find the area of a circle whose radius is 126 meters.
The area of the circle = 49,882.92 m²
The area of a circle = πr²
Here, r = 126
Therefore, the area of the circle = π × 126²
= 3.14 × 126 × 126
= 49,882.92 m².
The area of the square is 15,876 cm². Find the perimeter of the square.
The perimeter of the square is 504 cm.
The area of the square = a²
Here, the area is 15,876 cm²
The length of the side is √15,876 = 126
Perimeter of the square = 4a
Here, a = 126
Therefore, the perimeter = 4 × 126 = 504.
Find the square of 127.
The square of 127 is 16,129.
The square of 127 is multiplying 127 by 127.
So, the square
= 127 × 127
= 16,129.
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.
: He loves to play the quiz with kids through algebra to make kids love it.