121 LearnersLast updated on May 26th, 2025
Square of 75
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 75.
What is the Square of 75
The square of a number is the product of the number itself. The square of 75 is 75 × 75. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 75², where 75 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 75 is 75 × 75 = 5625. Square of 75 in exponential form: 75² Square of 75 in arithmetic form: 75 × 75
How to Calculate the Value of Square of 75
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 75. Step 1: Identify the number. Here, the number is 75. Step 2: Multiplying the number by itself, we get, 75 × 75 = 5625. The square of 75 is 5625.
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 75. So: 75² = 75 × 75 = 5625
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 75. Step 1: Enter the number in the calculator. Enter 75 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 75 × 75. Step 3: Press the equal button to find the answer. Here, the square of 75 is 5625. Tips and Tricks for the Square of 75 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 75
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 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 75² with (7 + 5)² or (70 + 5)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 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 practice regularly to avoid errors.
Solved Examples on Square of 75
Problem 1
Find the length of a square, where the area of the square is 5625 cm².
The area of a square = a² So, the area of a square = 5625 cm² So, the length = √5625 = 75. The length of each side = 75 cm
Explanation
The length of a square is 75 cm. Because the area is 5625 cm², the length is √5625 = 75.
Problem 2
Sarah is planning to paint her square wall of length 75 feet. The cost to paint a foot is 3 dollars. How much will it cost to paint the full wall?
The length of the wall = 75 feet The cost to paint 1 square foot of wall = 3 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 75 Therefore, the area of the wall = 75² = 75 × 75 = 5625. The cost to paint the wall = 5625 × 3 = 16875. The total cost = 16875 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 16875 dollars.
Problem 3
Find the area of a circle whose radius is 75 meters.
The area of the circle = 17671.5 m²
Explanation
The area of a circle = πr² Here, r = 75 Therefore, the area of the circle = π × 75² = 3.14 × 75 × 75 = 17671.5 m².
Problem 4
The area of the square is 5764 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a² Here, the area is 5764 cm² The length of the side is √5764 = 76 Perimeter of the square = 4a Here, a = 76 Therefore, the perimeter = 4 × 76 = 304.
Problem 5
Find the square of 74.
The square of 74 is 5476.
Explanation
The square of 74 is multiplying 74 by 74. So, the square = 74 × 74 = 5476
FAQs on Square of 75
1.What is the square of 75?
2.What is the square root of 75?
3.Is 75 a prime number?
4.What are the first few multiples of 75?
5.What is the square of 76?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 75?
8.How do technology and digital tools in Canada support learning Algebra and Square of 75?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square of 75
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc. - Exponential form: A way of writing numbers using bases and powers. For example, 9² where 9 is the base and 2 is the power. - Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6². - Square root: The square root is the inverse operation of squaring a number. It is a value that, when multiplied by itself, gives the original number. - Multiplication: A mathematical operation where a number is added to itself a certain number of times. For example, 3 multiplied by 4 is 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.
Fun Fact
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