Last updated on May 29th, 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 1764.
The square of a number is the product of the number itself.
The square of 1764 is 1764 × 1764.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1764², where 1764 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 1764 is 1764 × 1764 = 3,111,696.
Square of 1764 in exponential form: 1764²
Square of 1764 in arithmetic form: 1764 × 1764
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 1764.
Step 1: Identify the number. Here, the number is 1764.
Step 2: Multiplying the number by itself, we get, 1764 × 1764 = 3,111,696.
The square of 1764 is 3,111,696.
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 1764.
So: 1764² = 1764 × 1764 = 3,111,696.
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 1764.
Step 1: Enter the number in the calculator. Enter 1764 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1764 × 1764
Step 3: Press the equal to button to find the answer. Here, the square of 1764 is 3,111,696.
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 3,111,696 cm².
The area of a square = a²
So, the area of a square = 3,111,696 cm²
So, the length = √3,111,696 = 1764.
The length of each side = 1764 cm
The length of a square is 1764 cm.
Because the area is 3,111,696 cm², the length is √3,111,696 = 1764.
Emma is planning to carpet her square room of length 1764 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 1764 feet
The cost to carpet 1 square foot of room = 5 dollars
To find the total cost to carpet, we find the area of the room.
Area of the room = area of the square = a²
Here a = 1764
Therefore, the area of the room = 1764² = 1764 × 1764 = 3,111,696.
The cost to carpet the room = 3,111,696 × 5 = 15,558,480.
The total cost = 15,558,480 dollars.
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 15,558,480 dollars.
Find the area of a circle whose radius is 1764 meters.
The area of the circle = 9,779,764.56 m²
The area of a circle = πr²
Here, r = 1764
Therefore, the area of the circle = π × 1764² = 3.14 × 1764 × 1764 = 9,779,764.56 m².
The area of the square is 3,111,696 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 3,111,696 cm²
The length of the side is √3,111,696 = 1764
Perimeter of the square = 4a
Here, a = 1764
Therefore, the perimeter = 4 × 1764 = 7,056.
Find the square of 1800.
The square of 1800 is 3,240,000
The square of 1800 is multiplying 1800 by 1800.
So, the square = 1800 × 1800 = 3,240,000
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.