124 LearnersLast updated on May 26th, 2025
Square of 972
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 972.
What is the Square of 972
The square of a number is the product of the number by itself. The square of 972 is 972 × 972. The square of a number can end in 0, 1, 4, 5, 6, or 9. We write it in math as 972², where 972 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 972 is 972 × 972 = 944784.
Square of 972 in exponential form: 972²
Square of 972 in arithmetic form: 972 × 972
How to Calculate the Value of Square of 972
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.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication method
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 972.
Step 1: Identify the number. Here, the number is 972
Step 2: Multiplying the number by itself, we get, 972 × 972 = 944784.
The square of 972 is 944784.
Using a Formula (a²)
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 972 So: 972² = 972 × 972 = 944784
By Using a Calculator
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 972.
Step 1: Enter the number in the calculator Enter 972 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 972 × 972
Step 3: Press the equal to button to find the answer Here, the square of 972 is 944784.
Tips and Tricks for the Square of 972
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.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number can be 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 972
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found. For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 972² with (9 + 72)² or (900 + 72)². So students should check and use the correct formula and double-check the answers to avoid all confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 972
Problem 1
Find the length of the square, where the area of the square is 944784 cm².
The area of a square = a²
So, the area of a square = 944784 cm²
So, the length = √944784 = 972.
The length of each side = 972 cm
Explanation
The length of a square is 972 cm.
Because the area is 944784 cm² the length is √944784 = 972.
Problem 2
Jerry is planning to tile his square floor of length 972 feet. The cost to tile a foot is 7 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 972 feet
The cost to tile 1 square foot of floor = 7 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 = 972
Therefore, the area of the floor = 972² = 972 × 972 = 944784.
The cost to tile the floor = 944784 × 7 = 6613488.
The total cost = 6613488 dollars
Explanation
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 6613488 dollars.
Problem 3
Find the area of a circle whose radius is 972 meters.
The area of the circle = 2972892.48 m²
Explanation
The area of a circle = πr²
Here, r = 972
Therefore, the area of the circle = π × 972² = 3.14 × 972 × 972 = 2972892.48 m².
Problem 4
The area of the square is 944784 cm². Find the perimeter of the square.
The perimeter of the square is 3888 cm
Explanation
The area of the square = a²
Here, the area is 944784 cm²
The length of the side is √944784 = 972
Perimeter of the square = 4a
Here, a = 972
Therefore, the perimeter = 4 × 972 = 3888 cm.
Problem 5
Find the square of 973.
The square of 973 is 947729
Explanation
The square of 973 is multiplying 973 by 973.
So, the square = 973 × 973 = 947729
FAQs on Square of 972
1.What is the square of 972?
2.What is the square root of 972?
3.Is 972 a prime number?
4.What are the first few multiples of 972?
5.What is the square of 973?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 972?
8.How do technology and digital tools in United States support learning Algebra and Square of 972?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 972.
- Perfect Square: A perfect square is a number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: An exponent refers to the number of times a number is multiplied by itself. In 972², 2 is the exponent.
- Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication: Multiplication is a mathematical operation to calculate the total of one number added a specified number of times.
- Circle Area Formula: The formula for the area of a circle is πr², where r is the radius of the circle.
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Jaskaran Singh Saluja
About the Author
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.
Fun Fact
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