129 LearnersLast updated on May 30th, 2025
Square of 588
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 588.
What is the Square of 588
The square of a number is the product of the number by itself.
The square of 588 is 588 × 588.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 588², where 588 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 588 is 588 × 588 = 345,744.
Square of 588 in exponential form: 588²
Square of 588 in arithmetic form: 588 × 588
How to Calculate the Value of Square of 588
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 588.
Step 1: Identify the number. Here, the number is 588.
Step 2: Multiplying the number by itself, we get, 588 × 588 = 345,744.
The square of 588 is 345,744.
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 588.
So: 588² = 588 × 588 = 345,744
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 588.
Step 1: Enter the number in the calculator Enter 588 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 588 × 588
Step 3: Press the equal to button to find the answer Here, the square of 588 is 345,744.
Tips and Tricks for the Square of 588
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 588
Mistakes are common among kids when doing math, especially when it comes to 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 steps or swap the digits. To avoid them, students should double-check their answers. 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 when using the formula
The formula to find the square of the number is a². Instead, students may use 588² with (5 + 8 + 8)² or (500 + 88)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square and square root
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, 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 perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly
Regular practice is required to master the square of a number. So students should engage in regular practice to avoid errors.
Solved Examples on Square of 588
Problem 1
Find the length of a square whose area is 345,744 cm².
The area of a square = a² So, the area of a square = 345,744 cm² Thus, the length = √345,744 = 588. The length of each side = 588 cm
Explanation
The length of a square is 588 cm.
Because the area is 345,744 cm², the length is √345,744 = 588.
Problem 2
A rectangular plot of land has a square section with a side length of 588 feet. If the cost to fence the land is $5 per foot, what is the total cost to fence the square section?
The length of each side of the square section = 588 feet The cost to fence 1 foot = $5 To find the total cost to fence, we find the perimeter of the square section, Perimeter of the square = 4 × side length Here, side length = 588 Therefore, the perimeter = 4 × 588 = 2,352 feet The cost to fence the square section = 2,352 × 5 = 11,760 dollars. The total cost = 11,760 dollars
Explanation
To find the cost to fence the square section, we multiply the perimeter by the cost per foot.
So, the total cost is 11,760 dollars.
Problem 3
Find the area of a square whose diagonal is 588 meters.
The area of the square = 172,584 m²
Explanation
To find the area of a square when the diagonal is given, use the formula:
Area = (1/2) × (diagonal²)
Here, diagonal = 588
Therefore, the area = (1/2) × (588 × 588) = 172,584 m².
Problem 4
The area of a square is 345,744 cm². Find the perimeter of the square.
The perimeter of the square is 2,352 cm.
Explanation
The area of the square = a²
Here, the area is 345,744 cm²
The length of the side is √345,744 = 588
Perimeter of the square = 4a
Here, a = 588
Therefore, the perimeter = 4 × 588 = 2,352 cm.
Problem 5
Find the square of 589.
The square of 589 is 346,921.
Explanation
The square of 589 is multiplying 589 by 589.
So, the square = 589 × 589 = 346,921.
FAQs on Square of 588
1.What is the square of 588?
2.What is the square root of 588?
3.Is 588 a perfect square?
4.What are the first few multiples of 588?
5.What is the square of 587?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 588?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 588?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 588
- Perfect square: A perfect square is a number that is the square of an integer. For example, 25 is a perfect square because it is 5².
- Square root: The square root is the inverse operation of squaring a number. For example, the square root of 25 is 5.
- Perimeter: The perimeter is the total length around a two-dimensional shape. For a square, it is calculated as 4 times the side length.
- Diagonal: The diagonal of a square is a line segment connecting opposite corners. It can be calculated using the formula diagonal = side × √2.
- Multiplication: Multiplication is a basic arithmetic operation used to find the product of numbers. In the context of squares, it is used to multiply a number by itself.
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About BrightChamps in Singapore
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.
