132 LearnersLast updated on May 26th, 2025
Square of 62
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 62.
What is the Square of 62
The square of a number is the product of the number itself.
The square of 62 is 62 × 62.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 62², where 62 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 62 is 62 × 62 = 3844.
Square of 62 in exponential form: 62²
Square of 62 in arithmetic form: 62 × 62
How to Calculate the Value of Square of 62
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
- 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 62.
Step 1: Identify the number. Here, the number is 62.
Step 2: Multiplying the number by itself, we get, 62 × 62 = 3844.
The square of 62 is 3844.
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 62
So: 62² = 62 × 62 = 3844
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 62.
Step 1: Enter the number in the calculator. Enter 62 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 62 × 62
Step 3: Press the equal to button to find the answer. Here, the square of 62 is 3844.
Tips and Tricks for the Square of 62
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.
- 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 62
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 62² with (6 + 2)² or (60 + 2)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 62
Problem 1
Find the length of the square, where the area of the square is 3844 cm².
The area of a square = a²
So, the area of a square = 3844 cm²
So, the length = √3844 = 62.
The length of each side = 62 cm
Explanation
The length of a square is 62 cm.
Because the area is 3844 cm², the length is √3844 = 62.
Problem 2
Linda is planning to tile her square garden of length 62 feet. The cost to lay a tile per square foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 62 feet
The cost to lay 1 square foot of tile = 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 = 62
Therefore, the area of the garden = 62² = 62 × 62 = 3844.
The cost to tile the garden = 3844 × 5 = 19220.
The total cost = 19220 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to lay per square foot. So, the total cost is 19220 dollars.
Problem 3
Find the area of a circle whose radius is 62 meters.
The area of the circle = 12,080.64 m²
Explanation
The area of a circle = πr²
Here, r = 62
Therefore, the area of the circle = π × 62² = 3.14 × 62 × 62 = 12080.64 m².
Problem 4
The area of the square is 3969 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 3969 cm²
The length of the side is √3969 = 63
Perimeter of the square = 4a
Here, a = 63
Therefore, the perimeter = 4 × 63 = 252.
Problem 5
Find the square of 63.
The square of 63 is 3969
Explanation
The square of 63 is multiplying 63 by 63.
So, the square = 63 × 63 = 3969
FAQs on Square of 62
1.What is the square of 62?
2.What is the square root of 62?
3.Is 62 a prime number?
4.What are the first few multiples of 62?
5.What is the square of 61?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 62?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 62?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 62.
- Perfect square: A perfect square is an integer that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Prime number: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. For example, 2, 3, 5, 7, 11, ...
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is an operation that finds a number which, when multiplied by itself, gives the original number. For example, the square root of 36 is 6.
- Multiples: Multiples of a number are the result of multiplying that number by an integer. For example, the multiples of 3 are 3, 6, 9, 12, 15, ...
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About BrightChamps in Vietnam
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.
