Square of 74
2026-02-28 01:19 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 the topic, we will discuss the square of 74.

What is the Square of 74

The square of a number is the product of the number itself.

The square of 74 is 74 × 74.

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 74², where 74 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 74 is 74 × 74 = 5476.

Square of 74 in exponential form: 74²

Square of 74 in arithmetic form: 74 × 74

How to Calculate the Value of Square of 74

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 (a2)
     
  • 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 74

Step 1: Identify the number. Here, the number is 74

Step 2: Multiplying the number by itself, we get, 74 × 74 = 5476.

The square of 74 is 5476.

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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 74

So: 74² = 74 × 74 = 5476

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 74.

Step 1: Enter the number in the calculator. Enter 74 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×). That is 74 × 74

Step 3: Press the equal to button to find the answer. Here, the square of 74 is 5476.

Tips and Tricks for the Square of 74

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 is always 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 74

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 5476 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 5476 cm²

So, the length = √5476 = 74.

The length of each side = 74 cm

Explanation

The length of a square is 74 cm.

Because the area is 5476 cm² the length is √5476 = 74.

Well explained 👍

Problem 2

Sarah is planning to paint her square wall of length 74 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

Okay, lets begin

The length of the wall = 74 feet

The cost to paint 1 square foot of wall = 3 dollars.

To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a²

Here a = 74

Therefore, the area of the wall = 74² = 74 × 74 = 5476.

The cost to paint the wall = 5476 × 3 = 16428.

The total cost = 16428 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot. So, the total cost is 16428 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 74 meters.

Okay, lets begin

The area of the circle = 17,201.06 m²

Explanation

The area of a circle = πr²

Here, r = 74

Therefore, the area of the circle = π × 74² = 3.14 × 74 × 74 = 17,201.06 m².

Well explained 👍

Problem 4

The area of the square is 5476 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 296 cm.

Explanation

The area of the square = a²

Here, the area is 5476 cm²

The length of the side is √5476 = 74

Perimeter of the square = 4a

Here, a = 74

Therefore, the perimeter = 4 × 74 = 296 cm.

Well explained 👍

Problem 5

Find the square of 75.

Okay, lets begin

The square of 75 is 5625.

Explanation

The square of 75 is multiplying 75 by 75.

So, the square = 75 × 75 = 5625.

Well explained 👍

FAQs on Square of 74

1.What is the square of 74?

The square of 74 is 5476, as 74 × 74 = 5476.

2.What is the square root of 74?

The square root of 74 is approximately ±8.6.

3.Is 74 a prime number?

No, 74 is not a prime number; it is divisible by 1, 2, 37, and 74.

4.What are the first few multiples of 74?

The first few multiples of 74 are 74, 148, 222, 296, 370, 444, 518, 592, and so on.

5.What is the square of 73?

The square of 73 is 5329.

Important Glossaries for Square of 74.

  • Perfect square: A number that is the square of an integer. For example, 5476 is a perfect square because it is 74².
  • Prime number: A number that is only divisible by 1 and itself. For example, 37 is a prime number.
  • Exponential form: Writing a number in the form of a power, such as 74², where 74 is the base and 2 is the exponent.
  • Square root: The inverse operation of squaring a number, such as finding √5476 = 74.
  • Multiples: Numbers obtained by multiplying a given number by integers. For example, multiples of 74 include 74, 148, 222, etc.

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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.