121 LearnersLast updated on May 26th, 2025
Square of 84
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 84.
What is the Square of 84
The square of a number is the product of the number itself. The square of 84 is 84 × 84. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 84², where 84 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 84 is 84 × 84 = 7056. Square of 84 in exponential form: 84² Square of 84 in arithmetic form: 84 × 84
How to Calculate the Value of Square of 84
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 84 Step 1: Identify the number. Here, the number is 84 Step 2: Multiplying the number by itself, we get, 84 × 84 = 7056. The square of 84 is 7056.
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 84 So: 84² = 84 × 84 = 7056
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 84. Step 1: Enter the number in the calculator Enter 84 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 84 × 84 Step 3: Press the equal to button to find the answer Here, the square of 84 is 7056. Tips and Tricks for the Square of 84 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 84
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found. For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 84² with (8 + 4)² or (80 + 4)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 84
Problem 1
Find the length of the square, where the area of the square is 7056 cm².
The area of a square = a² So, the area of a square = 7056 cm² So, the length = √7056 = 84. The length of each side = 84 cm
Explanation
The length of a square is 84 cm. Because the area is 7056 cm² the length is √7056 = 84.
Problem 2
Alice wants to carpet her square room of length 84 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 84 feet The cost to carpet 1 square foot of room = 5 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 84 Therefore, the area of the room = 84² = 84 × 84 = 7056. The cost to carpet the room = 7056 × 5 = 35280. The total cost = 35280 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 35280 dollars.
Problem 3
Find the area of a circle whose radius is 84 meters.
The area of the circle = 22167.36 m²
Explanation
The area of a circle = πr² Here, r = 84 Therefore, the area of the circle = π × 84² = 3.14 × 84 × 84 = 22167.36 m².
Problem 4
The area of a square is 7056 cm². Find the perimeter of the square.
The perimeter of the square is 336 cm
Explanation
The area of the square = a² Here, the area is 7056 cm² The length of the side is √7056 = 84 Perimeter of the square = 4a Here, a = 84 Therefore, the perimeter = 4 × 84 = 336 cm.
Problem 5
Find the square of 85.
The square of 85 is 7225
Explanation
The square of 85 is multiplying 85 by 85. So, the square = 85 × 85 = 7225
FAQs on Square of 84
1.What is the square of 84?
2.What is the square root of 84?
3.Is 84 a composite number?
4.What are the first few multiples of 84?
5.What is the square of 83?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 84?
8.How do technology and digital tools in United States support learning Algebra and Square of 84?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 84.
Composite number: A number with more than two positive divisors. For example, 4, 6, 8, 9, ... Exponential form: A way of writing numbers using a base and an exponent. For example, 9², where 9 is the base and 2 is the exponent. Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, ... Inverse operations: Operations that reverse the effects of each other, such as multiplication and division or squaring and square rooting. Area: The measurement of the surface of a shape. For example, the area of a square is calculated as side × side.
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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.
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