115 LearnersLast updated on May 26th, 2025
Square of 741
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 741.
What is the Square of 741
The square of a number is the product of the number by itself. The square of 741 is 741 × 741. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 741², where 741 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 741 is 741 × 741 = 549,081. Square of 741 in exponential form: 741² Square of 741 in arithmetic form: 741 × 741
How to Calculate the Value of Square of 741
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 741. Step 1: Identify the number. Here, the number is 741. Step 2: Multiply the number by itself, we get, 741 × 741 = 549,081. The square of 741 is 549,081.
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 741. So: 741² = 741 × 741 = 549,081.
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 741. Step 1: Enter the number in the calculator. Enter 741 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 741 × 741. Step 3: Press the equal to button to find the answer. Here, the square of 741 is 549,081. Tips and Tricks for the Square of 741 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 741
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 swap 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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 741² with (7 + 4 + 1)² or (700 + 41)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 741
Problem 1
Find the length of the square, where the area of the square is 549,081 cm².
The area of a square = a² So, the area of a square = 549,081 cm² So, the length = √549,081 = 741. The length of each side = 741 cm
Explanation
The length of a square is 741 cm. Because the area is 549,081 cm², the length is √549,081 = 741.
Problem 2
Jerry wants to tile a square floor with each tile costing 5 dollars. If the length of the floor is 741 feet, how much will it cost to tile the full floor?
The length of the floor = 741 feet The cost to tile 1 square foot of floor = 5 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a² Here a = 741 Therefore, the area of the floor = 741² = 741 × 741 = 549,081. The cost to tile the floor = 549,081 × 5 = 2,745,405. The total cost = 2,745,405 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 2,745,405 dollars.
Problem 3
Find the area of a circle whose radius is 741 meters.
The area of the circle = 1,725,963.94 m²
Explanation
The area of a circle = πr² Here, r = 741 Therefore, the area of the circle = π × 741² = 3.14 × 741 × 741 = 1,725,963.94 m².
Problem 4
The area of the square is 549,081 cm². Find the perimeter of the square.
The perimeter of the square is 2,964 cm.
Explanation
The area of the square = a² Here, the area is 549,081 cm² The length of the side is √549,081 = 741 Perimeter of the square = 4a Here, a = 741 Therefore, the perimeter = 4 × 741 = 2,964.
Problem 5
Find the square of 742.
The square of 742 is 550,564.
Explanation
The square of 742 is multiplying 742 by 742. So, the square = 742 × 742 = 550,564.
FAQs on Square of 741
1.What is the square of 741?
2.What is the square root of 741?
3.Is 741 a perfect square?
4.What are the first few multiples of 741?
5.What is the square of 740?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 741?
8.How do technology and digital tools in India support learning Algebra and Square of 741?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 741.
1. Perfect Square: A number that is the square of an integer. For example, 49 is a perfect square as it is 7². 2. 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 exponent. 3. Square Root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself. 4. Multiplication Method: A method of finding the square by multiplying the number by itself. 5. Perimeter: The total length around a two-dimensional shape. For a square, it is calculated as 4 times the length of one 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.
Fun Fact
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