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 71.
The square of a number is the product of the number with itself.
The square of 71 is 71 × 71.
The square of a number can end in 0, 1, 4, 5, 6, or 9.
We write it in math as (712), where 71 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, (52 = 25); ((-5)2 = 25).
The square of 71 is 71 × 71 = 5041.
Square of 71 in exponential form: (712)
Square of 71 in arithmetic form: 71 × 71
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 71.
Step 1: Identify the number. Here, the number is 71
Step 2: Multiplying the number by itself, we get, 71 × 71 = 5041.
The square of 71 is 5041.
In this method, the formula, \(a^2\) 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 71
So: (712 = 71 × 71 = 5041)
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 71.
Step 1: Enter the number in the calculator. Enter 71 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 71 × 71
Step 3: Press the equal to button to find the answer. Here, the square of 71 is 5041.
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 5041 cm².
The area of a square = (a2)
So, the area of a square = 5041 cm²
So, the length = (sqrt{5041} = 71).
The length of each side = 71 cm
The length of a square is 71 cm.
Because the area is 5041 cm², the length is (sqrt{5041} = 71).
Anna wants to tile her square kitchen floor with a side length of 71 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 71 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 = 71)
Therefore, the area of the floor = (712 = 71 × 71 = 5041).
The cost to tile the floor = 5041 × 5 = 25205.
The total cost = 25205 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 25205 dollars.
Find the area of a circle whose radius is 71 meters.
The area of the circle = 15824.06 m²
The area of a circle = (pi r2)
Here, (r = 71)
Therefore, the area of the circle = (pi × 712) = (3.14 × 71 × 71 = 15824.06) m².
The area of the square is 5041 cm². Find the perimeter of the square.
The perimeter of the square is 284 cm.
The area of the square = (a2)
Here, the area is 5041 cm²
The length of the side is (sqrt{5041} = 71)
Perimeter of the square = 4a Here, (a = 71)
Therefore, the perimeter = 4 × 71 = 284 cm.
Find the square of 72.
The square of 72 is 5184.
The square of 72 is multiplying 72 by 72.
So, the square = 72 × 72 = 5184
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.