119 LearnersLast updated on May 26th, 2025
Square of 750
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 750.
What is the Square of 750
The square of a number is the product of the number itself. The square of 750 is 750 × 750. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 750², where 750 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 750 is 750 × 750 = 562,500. Square of 750 in exponential form: 750² Square of 750 in arithmetic form: 750 × 750
How to Calculate the Value of the Square of 750
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 750 Step 1: Identify the number. Here, the number is 750 Step 2: Multiplying the number by itself, we get, 750 × 750 = 562,500. The square of 750 is 562,500.
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 750 So: 750² = 750 × 750 = 562,500
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 750. Step 1: Enter the number in the calculator Enter 750 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 750 × 750 Step 3: Press the equal to button to find the answer Here, the square of 750 is 562,500. Tips and Tricks for the Square of 750 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 750
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 750² with (7 + 5 + 0)² or (700 + 50)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 errors.
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 750
Problem 1
Find the width of a square garden plot where the area of the plot is 562,500 m².
The area of a square = a² So, the area of a square = 562,500 m² So, the width = √562,500 = 750. The width of each side = 750 m
Explanation
The width of the square garden plot is 750 m because the area is 562,500 m² and the width is √562,500 = 750.
Problem 2
Sarah wants to carpet her square living room, which has a side length of 750 inches. The cost to carpet per square inch is 2 dollars. How much will it cost to carpet the entire room?
The length of the room = 750 inches The cost to carpet 1 square inch of the room = 2 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 = 750 Therefore, the area of the room = 750² = 750 × 750 = 562,500. The cost to carpet the room = 562,500 × 2 = 1,125,000. The total cost = 1,125,000 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per square inch. So, the total cost is 1,125,000 dollars.
Problem 3
Find the area of a circle whose radius is 750 meters.
The area of the circle = 1,767,145.87 m²
Explanation
The area of a circle = πr² Here, r = 750 Therefore, the area of the circle = π × 750² = 3.14 × 750 × 750 = 1,767,145.87 m².
Problem 4
The area of a square garden is 562,500 cm². Find the perimeter of the garden.
The perimeter of the garden is
Explanation
The area of the square = a² Here, the area is 562,500 cm² The length of the side is √562,500 = 750 Perimeter of the square = 4a Here, a = 750 Therefore, the perimeter = 4 × 750 = 3,000.
Problem 5
Find the square of 751.
The square of 751 is 563,001
Explanation
The square of 751 is multiplying 751 by 751. So, the square = 751 × 751 = 563,001
FAQs on Square of 750
1.What is the square of 750?
2.What is the square root of 750?
3.Is 750 a perfect square?
4.What are the first few multiples of 750?
5.What is the square of 749?
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 750?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 750?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 750.
Perfect square: A number that is the square of an integer. For example, 16 is a perfect square as it is 4². Exponential form: A way of expressing numbers as powers. For example, 9² where 9 is the base and 2 is the exponent. Square: The product of a number multiplied by itself. For example, the square of 5 is 25. Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5. Multiplication: The mathematical operation of scaling one number by another. For example, 3 × 4 = 12.
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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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