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 68.
The square of a number is the product of the number itself.
The square of 68 is 68 × 68.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 68², where 68 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 68 is 68 × 68 = 4624.
Square of 68 in exponential form: 68²
Square of 68 in arithmetic form: 68 × 68
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 68.
Step 1: Identify the number. Here, the number is 68.
Step 2: Multiplying the number by itself, we get, 68 × 68 = 4624.
The square of 68 is 4624.
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 68.
So: 68² = 68 × 68 = 4624
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 68.
Step 1: Enter the number in the calculator.
Enter 68 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×).
That is 68 × 68.
Step 3: Press the equal to button to find the answer. Here, the square of 68 is 4624.
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 length of the square, where the area of the square is 4624 cm².
The area of a square = a²
So, the area of a square = 4624 cm²
So, the length = √4624 = 68.
The length of each side = 68 cm
The length of a square is 68 cm.
Because the area is 4624 cm² the length is √4624 = 68.
Alice is planning to tile her square garden of length 68 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 68 feet
The cost to tile 1 square foot of garden = 5 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 68
Therefore, the area of the garden = 68² = 68 × 68 = 4624.
The cost to tile the garden = 4624 × 5 = 23120.
The total cost = 23120 dollars
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 23120 dollars.
Find the area of a circle whose radius is 68 meters.
The area of the circle = 14526.56 m²
The area of a circle = πr²
Here, r = 68
Therefore, the area of the circle = π × 68² = 3.14 × 68 × 68 = 14526.56 m².
The area of the square is 4624 cm². Find the perimeter of the square.
The perimeter of the square is 272 cm.
The area of the square = a²
Here, the area is 4624 cm²
The length of the side is √4624 = 68
Perimeter of the square = 4a
Here, a = 68
Therefore, the perimeter = 4 × 68 = 272 cm.
Find the square of 69.
The square of 69 is 4761.
The square of 69 is multiplying 69 by 69.
So, the square = 69 × 69 = 4761
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.