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 this topic, we will discuss the square of 64.
The square of a number is the product of the number itself.
The square of 64 is 64 × 64.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 64², where 64 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 64 is 64 × 64 = 4096.
Square of 64 in exponential form: 64²
Square of 64 in arithmetic form: 64 × 64
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 64.
Step 1: Identify the number. Here, the number is 64.
Step 2: Multiplying the number by itself, we get, 64 × 64 = 4096.
The square of 64 is 4096.
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 64
So: 64² = 64 × 64 = 4096
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 64.
Step 1: Enter the number in the calculator. Enter 64 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 64 × 64
Step 3: Press the equal to button to find the answer Here, the square of 64 is 4096.
Tips and Tricks for the Square of 64
Tips and tricks make it easy for students to understand and learn the square of a number.
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 side length of a square, where the area of the square is 4096 cm².
The area of a square = a²
So, the area of a square = 4096 cm²
So, the length = √4096 = 64.
The length of each side = 64 cm
The length of a square is 64 cm.
Because the area is 4096 cm², the length is √4096 = 64.
Sarah wants to tile her square floor of length 64 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 64 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 = 64
Therefore, the area of the floor = 64² = 64 × 64 = 4096.
The cost to tile the floor = 4096 × 5 = 20480.
The total cost = 20480 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 20480 dollars.
Find the area of a circle whose radius is 64 meters.
The area of the circle = 12867.84 m²
The area of a circle = πr²
Here, r = 64
Therefore, the area of the circle = π × 64² = 3.14 × 64 × 64 = 12867.84 m².
The area of a square is 4096 cm². Find the perimeter of the square.
The perimeter of the square is 256 cm
The area of the square = a²
Here, the area is 4096 cm²
The length of the side is √4096 = 64
Perimeter of the square = 4a
Here, a = 64
Therefore, the perimeter = 4 × 64 = 256 cm.
Find the square of 65.
The square of 65 is 4225
The square of 65 is multiplying 65 by 65.
So, the square = 65 × 65 = 4225
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.