Last updated on May 29th, 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 6084.
The square of a number is the product of the number itself.
The square of 6084 is the square of the number whose square is 6084.
We write it in math as n² = 6084, where n 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 root of 6084 is 78 because 78 × 78 = 6084.
Square root of 6084 in arithmetic form: √6084 = 78
The square root of a number is finding the number which, when multiplied by itself, gives the number. These are the common methods used to find the square root of a number.
In this method, we will factorize the number into its prime factors and pair them to find the square root. Let’s find the square root of 6084.
Step 1: Identify the number. Here, the number is 6084
Step 2: Factorize the number into its prime factors 6084 = 2 × 2 × 3 × 3 × 13 × 13
Step 3: Pair the prime factors and find the square root √6084 = 2 × 3 × 13 = 78
Using a calculator to find the square root of a number is the easiest method. Let’s learn how to use a calculator to find the square root of 6084.
Step 1: Enter the number in the calculator Enter 6084 in the calculator.
Step 2: Use the square root function or button (√) Press the square root button to find the answer
Here, the square root of 6084 is 78.
Tips and tricks make it easy for students to understand and learn the square root of a number. To master the square root of a number, these tips and tricks will help students.
Mistakes are common among kids when doing math, especially when finding the square root of a number. Let’s learn some common mistakes to master finding the square root of a number.
Find the length of the square, where the area of the square is 6084 cm².
The area of a square = a² So, the area of a square = 6084 cm² So, the length = √6084 = 78. The length of each side = 78 cm
The length of a square is 78 cm.
Because the area is 6084 cm², the length is √6084 = 78.
A rectangular garden has an area of 6084 square feet and one side measuring 78 feet. Find the other side's length.
The area of the rectangle = length × width Here, area = 6084 square feet, length = 78 feet Width = Area / Length = 6084 / 78 = 78 feet
To find the other side of the rectangle, divide the area by the known side length.
So, the other side is 78 feet.
Find the area of a circle whose diameter is 78 meters.
The area of the circle = 4,788.51 m²
The area of a circle = πr²
Here, diameter = 78, so radius r = 78/2 = 39
Therefore, the area of the circle = π × 39² = 3.14 × 39 × 39 = 4788.51 m².
The perimeter of a square is 312 cm. Find the side length of the square.
The side length of the square is 78 cm.
The perimeter of a square = 4a
Here, perimeter = 312 cm
So, 4a = 312 Therefore, a = 312 / 4 = 78.
Find the square of 79.
The square of 79 is 6241.
The square of 79 is multiplying 79 by 79.
So, the square = 79 × 79 = 6241.
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.