Last updated on May 27th, 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 4225.
The square of a number is the product of the number with itself.
The square of 4225 is 65 × 65.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 65², where 65 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 65 is 65 × 65 = 4225.
Square of 65 in exponential form: 65²
Square of 65 in arithmetic form: 65 × 65
The square of a number is found 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:
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 65.
Step 1: Identify the number. Here, the number is 65.
Step 2: Multiplying the number by itself, we get, 65 × 65 = 4225.
The square of 65 is 4225.
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 into the equation.
Here, ‘a’ is 65. So: 65² = 65 × 65 = 4225
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 65.
Step 1: Enter the number in the calculator Enter 65 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 65 × 65
Step 3: Press the equal to button to find the answer Here, the square of 65 is 4225.
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 involves finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Find the side length of a square whose area is 4225 cm².
The area of a square = a²
So, the area of a square = 4225 cm²
So, the side length = √4225 = 65.
The length of each side = 65 cm
The length of a square is 65 cm because the area is 4225 cm², so the length is √4225 = 65.
Sarah wants to tile her square floor of side 65 feet. The cost to tile one square foot is 4 dollars. How much will it cost to tile the entire floor?
The side length of the floor = 65 feet
The cost to tile 1 square foot of floor = 4 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 = 65
Therefore, the area of the floor = 65² = 65 × 65 = 4225.
The cost to tile the floor = 4225 × 4 = 16900.
The total cost = 16900 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 16900 dollars.
Find the area of a circle whose radius is 65 meters.
The area of the circle = 13,273.39 m²
The area of a circle = πr²
Here, r = 65
Therefore, the area of the circle = π × 65² = 3.14 × 65 × 65 = 13,273.39 m².
The area of a square is 4225 cm². Find the perimeter of the square.
The perimeter of the square is 260 cm.
The area of the square = a²
Here, the area is 4225 cm²
The side length is √4225 = 65
Perimeter of the square = 4a
Here, a = 65
Therefore, the perimeter = 4 × 65 = 260.
Find the square of 66.
The square of 66 is 4356.
The square of 66 is found by multiplying 66 by 66.
So, the square = 66 × 66 = 4356.
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.