Square of 704
2026-02-28 11:12 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 704.

What is the Square of 704

The square of a number is the product of the number itself. The square of 704 is 704 × 704. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 704², where 704 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 704 is 704 × 704 = 495,616.

Square of 704 in exponential form: 704²

Square of 704 in arithmetic form: 704 × 704

How to Calculate the Value of Square of 704

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 704.

Step 1: Identify the number. Here, the number is 704

Step 2: Multiplying the number by itself, we get, 704 × 704 = 495,616.

The square of 704 is 495,616.

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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 704

So: 704² = 704 × 704 = 495,616

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 704.

Step 1: Enter the number in the calculator Enter 704 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 704 × 704

Step 3: Press the equal to button to find the answer Here, the square of 704 is 495,616.

Tips and Tricks for the Square of 704

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.
     
  • 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 704

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 495,616 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 495,616 cm²

So, the length = √495,616 = 704.

The length of each side = 704 cm

Explanation

The length of a square is 704 cm. Because the area is 495,616 cm², the length is √495,616 = 704.

Well explained 👍

Problem 2

Alice is planning to paint her square garden wall of length 704 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?

Okay, lets begin

The length of the wall = 704 feet

The cost to paint 1 square foot of wall = 5 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 = 704

Therefore, the area of the wall = 704² = 704 × 704 = 495,616. The cost to paint the wall = 495,616 × 5 = 2,478,080. The total cost = 2,478,080 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 2,478,080 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 704 meters.

Okay, lets begin

The area of the circle = 1,557,920.64 m²

Explanation

The area of a circle = πr²

Here, r = 704

Therefore, the area of the circle = π × 704²

= 3.14 × 704 × 704

= 1,557,920.64 m².

Well explained 👍

Problem 4

The area of the square is 495,616 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is

Explanation

The area of the square = a²

Here, the area is 495,616 cm²

The length of the side is √495,616 = 704

Perimeter of the square = 4a

Here, a = 704

Therefore, the perimeter = 4 × 704 = 2,816.

Well explained 👍

Problem 5

Find the square of 705.

Okay, lets begin

The square of 705 is 497,025

Explanation

The square of 705 is multiplying 705 by 705. So, the square = 705 × 705 = 497,025

Well explained 👍

FAQs on Square of 704

1.What is the square of 704?

The square of 704 is 495,616, as 704 × 704 = 495,616.

2.What is the square root of 704?

The square root of 704 is approximately ±26.53.

3.Is 704 a perfect square?

4.What are the first few multiples of 704?

The first few multiples of 704 are 704, 1,408, 2,112, 2,816, 3,520, and so on.

5.What is the square of 703?

The square of 703 is 494,209.

Important Glossaries for Square 704.

  • Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
  • Exponential Form: A way of expressing a number using a base and an exponent. For example, 704².
  • Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
  • Even Number: A number divisible by 2 without any remainder. For example, 704.
  • Area: The amount of space inside a two-dimensional shape. For example, the area of a square is calculated as side².

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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.