116 LearnersLast updated on May 26th, 2025
Square of 747
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 747.
What is the Square of 747
The square of a number is the product of the number by itself. The square of 747 is 747 × 747. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 747², where 747 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 747 is 747 × 747 = 558,009. Square of 747 in exponential form: 747² Square of 747 in arithmetic form: 747 × 747
How to Calculate the Value of Square of 747
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 747. Step 1: Identify the number. Here, the number is 747 Step 2: Multiplying the number by itself, we get, 747 × 747 = 558,009. The square of 747 is 558,009.
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 747 So: 747² = 747 × 747 = 558,009
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 747. Step 1: Enter the number in the calculator Enter 747 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 747 × 747 Step 3: Press the equal to button to find the answer Here, the square of 747 is 558,009. Tips and Tricks for the Square of 747 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 747
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 747² with (7 + 4 + 7)² or (700 + 47)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 747
Problem 1
Find the length of a square, where the area of the square is 558,009 cm².
The area of a square = a² So, the area of a square = 558,009 cm² So, the length = √558,009 = 747. The length of each side = 747 cm
Explanation
The length of a square is 747 cm. Because the area is 558,009 cm², the length is √558,009 = 747.
Problem 2
Linda is planning to paint her square garden fence of length 747 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full fence?
The length of the fence = 747 feet The cost to paint 1 square foot of fence = 2 dollars. To find the total cost to paint, we find the area of the fence, Area of the fence = area of the square = a² Here a = 747 Therefore, the area of the fence = 747² = 747 × 747 = 558,009. The cost to paint the fence = 558,009 × 2 = 1,116,018. The total cost = 1,116,018 dollars
Explanation
To find the cost to paint the fence, we multiply the area of the fence by cost to paint per foot. So, the total cost is 1,116,018 dollars.
Problem 3
Find the area of a circle whose radius is 747 meters.
The area of the circle = 1,753,562.66 m²
Explanation
The area of a circle = πr² Here, r = 747 Therefore, the area of the circle = π × 747² = 3.14 × 747 × 747 = 1,753,562.66 m².
Problem 4
The area of a square is 558,009 cm². Find the perimeter of the square.
The perimeter of the square is 2,988 cm.
Explanation
The area of the square = a² Here, the area is 558,009 cm² The length of the side is √558,009 = 747 Perimeter of the square = 4a Here, a = 747 Therefore, the perimeter = 4 × 747 = 2,988.
Problem 5
Find the square of 748.
The square of 748 is 559,504
Explanation
The square of 748 is multiplying 748 by 748. So, the square = 748 × 748 = 559,504
FAQs on Square of 747
1.What is the square of 747?
2.What is the square root of 747?
3.Is 747 a prime number?
4.What are the first few multiples of 747?
5.What is the square of 750?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 747?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 747?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 747.
Integer: A whole number; it can be positive, negative, or zero. Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6². Prime Number: A number greater than 1 that has no divisors other than 1 and itself. Multiplication: A mathematical operation where a number is added to itself a certain number of times.
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About BrightChamps in United Arab Emirates
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.
