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 684.
The square of a number is the product of the number itself. The square of 684 is 684 × 684. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 684², where 684 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 684 is 684 × 684 = 467,856.
Square of 684 in exponential form: 684²
Square of 684 in arithmetic form: 684 × 684
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 684.
Step 1: Identify the number. Here, the number is 684.
Step 2: Multiplying the number by itself, we get, 684 × 684 = 467,856.
The square of 684 is 467,856.
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 684.
So: 684² = 684 × 684 = 467,856
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 684.
Step 1: Enter the number in the calculator. Enter 684 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 684 × 684.
Step 3: Press the equal to button to find the answer. Here, the square of 684 is 467,856.
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 a square, where the area of the square is 467,856 cm².
The area of a square = a²
So, the area of a square = 467,856 cm²
So, the length = √467,856 = 684.
The length of each side = 684 cm
The length of a square is 684 cm. Because the area is 467,856 cm², the length is √467,856 = 684.
Lisa is planning to tile her square floor with a length of 684 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the entire floor?
The length of the floor = 684 feet
The cost to tile 1 square foot of the floor = is 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 = 684
Therefore, the area of the floor = 684² = 684 × 684 = 467,856.
The cost to tile the floor = 467,856 × 5 = 2,339,280.
The total cost = 2,339,280 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 2,339,280 dollars.
Find the area of a circle whose radius is 684 meters.
The area of the circle = 1,470,265.44 m²
The area of a circle = πr²
Here, r = 684
Therefore, the area of the circle = π × 684²
= 3.14 × 684 × 684
= 1,470,265.44 m².
The area of a square is 467,856 cm². Find the perimeter of the square.
The perimeter of the square is 2,736 cm.
The area of the square = a²
Here, the area is 467,856 cm²
The length of the side is √467,856 = 684
Perimeter of the square = 4a Here, a = 684
Therefore, the perimeter = 4 × 684 = 2,736.
Find the square of 685.
The square of 685 is 469,225.
The square of 685 is multiplying 685 by 685. So, the square = 685 × 685 = 469,225.
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.