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 this topic, we will discuss the square of 711.
The square of a number is the product of the number itself.
The square of 711 is 711 × 711.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 711², where 711 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 711 is 711 × 711 = 505,521.
Square of 711 in exponential form: 711²
Square of 711 in arithmetic form: 711 × 711
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 711.
Step 1: Identify the number. Here, the number is 711.
Step 2: Multiplying the number by itself, we get, 711 × 711 = 505,521.
The square of 711 is 505,521.
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 711.
So: 711² = 711 × 711 = 505,521
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 711.
Step 1: Enter the number in the calculator. Enter 711 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 711 × 711
Step 3: Press the equal to button to find the answer. Here, the square of 711 is 505,521.
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 side length of a square, where the area of the square is 505,521 cm².
The area of a square = a²
So, the area of a square = 505,521 cm²
So, the side length = √505,521 = 711.
The length of each side = 711 cm
The side length of a square is 711 cm.
Because the area is 505,521 cm², the side length is √505,521 = 711.
Sarah wants to tile her square patio of side length 711 feet. The cost of tiling a square foot is 5 dollars. How much will it cost to tile the entire patio?
The side length of the patio = 711 feet
The cost to tile 1 square foot of patio = 5 dollars.
To find the total cost to tile, we find the area of the patio.
Area of the patio = area of the square = a²
Here a = 711
Therefore, the area of the patio = 711² = 711 × 711 = 505,521.
The cost to tile the patio = 505,521 × 5 = 2,527,605.
The total cost = 2,527,605 dollars
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per square foot. So, the total cost is 2,527,605 dollars.
Calculate the area of a circle whose radius is 711 meters.
The area of the circle = 1,588,500.66 m²
The area of a circle = πr²
Here, r = 711
Therefore, the area of the circle = π × 711² = 3.14 × 711 × 711 = 1,588,500.66 m².
The area of a square is 505,521 cm². Find the perimeter of the square.
The perimeter of the square is 2,844 cm.
The area of the square = a²
Here, the area is 505,521 cm²
The side length is √505,521 = 711
Perimeter of the square = 4a
Here, a = 711
Therefore, the perimeter = 4 × 711 = 2,844.
Find the square of 712.
The square of 712 is 506,944.
The square of 712 is multiplying 712 by 712.
So, the square = 712 × 712 = 506,944.
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.