Square of 708
2026-02-28 10:20 Diff
https://brightchamps.com/en-us/math/algebra/square-of-708

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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 708.

What is the Square of 708

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

The square of 708 is 708 × 708.

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

We write it in math as 708², where 708 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 708 is 708 × 708 = 501,264.

Square of 708 in exponential form: 708²

Square of 708 in arithmetic form: 708 × 708

How to Calculate the Value of Square of 708

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 708.

Step 1: Identify the number. Here, the number is 708.

Step 2: Multiplying the number by itself, we get, 708 × 708 = 501,264.

The square of 708 is 501,264.

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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 708

So: 708² = 708 × 708 = 501,264

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 708.

Step 1: Enter the number in the calculator. Enter 708 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×). That is 708 × 708

Step 3: Press the equal to button to find the answer. Here, the square of 708 is 501,264.

Tips and Tricks for the Square of 708

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 708

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 501,264 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 501,264 cm²

So, the length = √501,264 = 708.

The length of each side = 708 cm

Explanation

The length of a square is 708 cm. Because the area is 501,264 cm², the length is √501,264 = 708.

Well explained 👍

Problem 2

Samantha is planning to tile her square kitchen floor of length 708 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the entire floor?

Okay, lets begin

The length of the floor = 708 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 = 708

Therefore, the area of the floor = 708² = 708 × 708 = 501,264.

The cost to tile the floor = 501,264 × 5 = 2,506,320.

The total cost = 2,506,320 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 2,506,320 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 708 meters.

Okay, lets begin

The area of the circle = 1,574,780.64 m²

Explanation

The area of a circle = πr²

Here, r = 708

Therefore, the area of the circle = π × 708² = 3.14 × 708 × 708 = 1,574,780.64 m².

Well explained 👍

Problem 4

The area of the square is 501,264 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 2,832 cm.

Explanation

The area of the square = a²

Here, the area is 501,264 cm²

The length of the side is √501,264 = 708

Perimeter of the square = 4a

Here, a = 708

Therefore, the perimeter = 4 × 708 = 2,832.

Well explained 👍

Problem 5

Find the square of 709.

Okay, lets begin

The square of 709 is 502,681

Explanation

The square of 709 is multiplying 709 by 709.

So, the square = 709 × 709 = 502,681

Well explained 👍

FAQs on Square of 708

1.What is the square of 708?

The square of 708 is 501,264, as 708 × 708 = 501,264.

2.What is the square root of 708?

The square root of 708 is approximately ±26.61.

3.Is 708 a prime number?

No, 708 is not a prime number; it is divisible by other numbers such as 2, 3, 4, and more.

4.What are the first few multiples of 708?

The first few multiples of 708 are 708, 1,416, 2,124, 2,832, 3,540, 4,248, and so on.

5.What is the square of 707?

The square of 707 is 499,849.

Important Glossaries for Square of 708.

  • Perfect square: A perfect square is a number that is the square of an integer. For example, 16, 81, and 121 are perfect squares.
  • Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 2², 2 is the base and 2 is the exponent.
  • Square root: The square root is the inverse operation of the square. The square root of a number is a value that, when multiplied by itself, gives the original number.
  • Area: Area is the measure of the space inside a two-dimensional shape. It is measured in square units.
  • Perimeter: The perimeter is the total distance around a two-dimensional shape. It is the sum of the lengths of all its sides.

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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.