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 762.
The square of a number is the product of the number with itself.
The square of 762 is 762 × 762.
The square of a number often ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 762², where 762 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 762 is 762 × 762 = 580,644.
Square of 762 in exponential form: 762²
Square of 762 in arithmetic form: 762 × 762
The square of a number is obtained by multiplying the number by itself. Here are 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 762.
Step 1: Identify the number. Here, the number is 762.
Step 2: Multiplying the number by itself, we get, 762 × 762 = 580,644.
The square of 762 is 580,644.
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 762. So: 762² = 762 × 762 = 580,644
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 762.
Step 1: Enter the number in the calculator. Enter 762 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 762 × 762.
Step 3: Press the equal button to find the answer. Here, the square of 762 is 580,644.
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 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 length of a square where the area is 580,644 cm².
The area of a square = a²
So, the area of the square = 580,644 cm²
So, the length = √580,644 = 762.
The length of each side = 762 cm
The length of the square is 762 cm.
Because the area is 580,644 cm², the length is √580,644 = 762.
Sarah is planning to tile her square floor, which has a length of 762 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 762 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 = 762.
Therefore, the area of the floor = 762² = 762 × 762 = 580,644.
The cost to tile the floor = 580,644 × 5 = 2,903,220.
The total cost = 2,903,220 dollars.
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square foot.
So, the total cost is 2,903,220 dollars.
Find the area of a circle whose radius is 762 meters.
The area of the circle = 1,823,237.36 m²
The area of a circle = πr².
Here, r = 762.
Therefore, the area of the circle = π × 762² = 3.14 × 762 × 762 = 1,823,237.36 m².
The area of a square is 582,169 cm². Find the perimeter of the square.
The perimeter of the square is 3036 cm.
The area of the square = a².
Here, the area is 582,169 cm².
The length of the side is √582,169 = 763.
Perimeter of the square = 4a.
Here, a = 763.
Therefore, the perimeter = 4 × 763 = 3052.
Find the square of 763.
The square of 763 is 582,169.
The square of 763 is obtained by multiplying 763 by 763.
So, the square = 763 × 763 = 582,169.
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.