Last updated on June 3rd, 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 this topic, we will discuss the square of 42.
The square of a number is the product of the number itself. The square of 42 is 42 × 42. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 42², where 42 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 42 is 42 × 42 = 1764.
Square of 42 in exponential form: 42²
Square of 42 in arithmetic form: 42 × 42
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 42
Step 1: Identify the number. Here, the number is 42
Step 2: Multiplying the number by itself, we get, 42 × 42 = 1764.
The square of 42 is 1764.
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 42 So: 42² = 42 × 42 = 1764
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 42.
Step 1: Enter the number in the calculator Enter 42 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 42 × 42
Step 3: Press the equal to button to find the answer Here, the square of 42 is 1764.
Tips and Tricks for the Square of 42
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.
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 1764 cm².
The area of a square = a²
So, the area of a square = 1764 cm²
So, the length = √1764 = 42.
The length of each side = 42 cm
The length of a square is 42 cm. Because the area is 1764 cm², the length is √1764 = 42.
Sarah is planning to tile her square kitchen floor of length 42 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 42 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 42
Therefore, the area of the floor = 42²
= 42 × 42 = 1764.
The cost to tile the floor = 1764 × 5 = 8820.
The total cost = 8820 dollars
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 8820 dollars.
Find the area of a circle whose radius is 42 meters.
The area of the circle = 5541.76 m²
The area of a circle = πr²
Here, r = 42
Therefore, the area of the circle = π × 42²
= 3.14 × 42 × 42
= 5541.76 m².
The area of the square is 1764 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 1764 cm²
The length of the side is √1764 = 42
Perimeter of the square = 4a
Here, a = 42
Therefore, the perimeter = 4 × 42 = 168.
Find the square of 43.
The square of 43 is 1849
The square of 43 is multiplying 43 by 43. So, the square = 43 × 43 = 1849
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.