Last updated on May 26th, 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 686.
The square of a number is the product of the number itself. The square of 686 is 686 × 686. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 686², where 686 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 686 is 686 × 686 = 470596.
Square of 686 in exponential form: 686²
Square of 686 in arithmetic form: 686 × 686
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.
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 686.
Step 1: Identify the number. Here, the number is 686.
Step 2: Multiplying the number by itself, we get, 686 × 686 = 470596.
The square of 686 is 470596.
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 686
So: 686² = 686 × 686 = 470596
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 686.
Step 1: Enter the number in the calculator Enter 686 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 686 × 686
Step 3: Press the equal to button to find the answer Here, the square of 686 is 470596.
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.
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.
Find the length of the square, where the area of the square is 470596 cm².
The area of a square = a²
So, the area of a square = 470596 cm²
So, the length = √470596 = 686.
The length of each side = 686 cm
The length of a square is 686 cm. Because the area is 470596 cm² the length is √470596 = 686.
Sarah is planning to tile her square garden of length 686 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 686 feet
The cost to tile 1 square foot of garden = 5 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 686
Therefore, the area of the garden = 686² = 686 × 686 = 470596.
The cost to tile the garden = 470596 × 5 = 2352980.
The total cost = 2352980 dollars
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 2352980 dollars.
Find the area of a circle whose radius is 686 meters.
The area of the circle = 1,479,236.64 m²
The area of a circle = πr²
Here, r = 686
Therefore, the area of the circle = π × 686²
= 3.14 × 686 × 686
= 1,479,236.64 m².
The area of the square is 470596 cm². Find the perimeter of the square.
The perimeter of the square is 2744 cm.
The area of the square = a²
Here, the area is 470596 cm²
The length of the side is √470596 = 686
Perimeter of the square = 4a
Here, a = 686
Therefore, the perimeter = 4 × 686 = 2744.
Find the square of 687.
The square of 687 is 471969
The square of 687 is multiplying 687 by 687. So, the square = 687 × 687 = 471969
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.
: He loves to play the quiz with kids through algebra to make kids love it.