Last updated on June 3rd, 2025
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 52.
The square of a number is the product of the number itself. The square of 52 is 52 × 52. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 52², where 52 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 52 is 52 × 52 = 2704.
Square of 52 in exponential form: 52²
Square of 52 in arithmetic form: 52 × 52
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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 52.
Step 1: Identify the number. Here, the number is 52.
Step 2: Multiplying the number by itself, we get, 52 × 52 = 2704.
The square of 52 is 2704.
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 52.
So: 52² = 52 × 52 = 2704
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 52.
Step 1: Enter the number in the calculator. Enter 52 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 52 × 52.
Step 3: Press the equal to button to find the answer. Here, the square of 52 is 2704.
Tips and Tricks for the Square of 52
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 2704 cm².
The area of a square = a²
So, the area of a square = 2704 cm²
So, the length = √2704 = 52.
The length of each side = 52 cm
The length of a square is 52 cm.
Because the area is 2704 cm², the length is √2704 = 52.
Samantha is planning to paint her square garden wall of length 52 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 52 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 = 52
Therefore, the area of the wall = 52² = 52 × 52 = 2704.
The cost to paint the wall = 2704 × 5 = 13520.
The total cost = 13520 dollars
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 13520 dollars.
Find the area of a circle whose radius is 52 meters.
The area of the circle = 8494.4 m²
The area of a circle = πr²
Here, r = 52
Therefore, the area of the circle = π × 52²
= 3.14 × 52 × 52
= 8494.4 m².
The area of the square is 2704 cm². Find the perimeter of the square.
The perimeter of the square is 208 cm.
The area of the square = a²
Here, the area is 2704 cm²
The length of the side is √2704 = 52
Perimeter of the square = 4a
Here, a = 52
Therefore, the perimeter = 4 × 52 = 208.
Find the square of 53.
The square of 53 is 2809.
The square of 53 is multiplying 53 by 53.
So, the square = 53 × 53 = 2809.
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.