Square of 972
2026-02-28 19:14 Diff
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Last updated on August 5, 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 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.

  1. By Multiplication Method
  2. Using a Formula
  3. 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.

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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.
  • 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.

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Problem 1

Find the length of the square, where the area of the square is 944784 cm².

Okay, lets begin

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.

Well explained 👍

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?

Okay, lets begin

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.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 972 meters.

Okay, lets begin

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.

Well explained 👍

Problem 4

The area of the square is 944784 cm². Find the perimeter of the square.

Okay, lets begin

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.

Well explained 👍

Problem 5

Find the square of 973.

Okay, lets begin

The square of 973 is 947729

Explanation

The square of 973 is multiplying 973 by 973.

So, the square = 973 × 973 = 947729

Well explained 👍

FAQs on Square of 972

1.What is the square of 972?

The square of 972 is 944784, as 972 × 972 = 944784.

2.What is the square root of 972?

The square root of 972 is approximately ±31.1769.

3.Is 972 a prime number?

No, 972 is not a prime number; it is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, and 972.

4.What are the first few multiples of 972?

The first few multiples of 972 are 972, 1944, 2916, 3888, 4860, and so on.

5.What is the square of 973?

The square of 973 is 947729.

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

: He loves to play the quiz with kids through algebra to make kids love it.