121 LearnersLast updated on May 26th, 2025
Square of 735
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 735.
What is the Square of 735
The square of a number is the product of the number itself. The square of 735 is 735 × 735. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 735², where 735 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 735 is 735 × 735 = 540,225. Square of 735 in exponential form: 735² Square of 735 in arithmetic form: 735 × 735
How to Calculate the Value of Square of 735
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 735. Step 1: Identify the number. Here, the number is 735. Step 2: Multiplying the number by itself, we get, 735 × 735 = 540,225. The square of 735 is 540,225.
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 735 So: 735² = 735 × 735 = 540,225
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 735. Step 1: Enter the number in the calculator Enter 735 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 735 × 735 Step 3: Press the equal to button to find the answer Here, the square of 735 is 540,225. Tips and Tricks for the Square of 735 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 735
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 735² with (7 + 3 + 5)² or (700 + 30 + 5)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 735
Problem 1
Find the length of the square, where the area of the square is 540,225 cm².
The area of a square = a² So, the area of a square = 540,225 cm² So, the length = √540,225 = 735. The length of each side = 735 cm
Explanation
The length of a square is 735 cm. Because the area is 540,225 cm² the length is √540,225 = 735.
Problem 2
Alice is planning to tile her square floor of length 735 feet. The cost to tile a foot is 10 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 735 feet The cost to tile 1 square foot of the floor = 10 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 = 735 Therefore, the area of the floor = 735² = 735 × 735 = 540,225. The cost to tile the floor = 540,225 × 10 = 5,402,250. The total cost = 5,402,250 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 5,402,250 dollars.
Problem 3
Find the area of a circle whose radius is 735 meters.
The area of the circle = 1,698,504.5 m²
Explanation
The area of a circle = πr² Here, r = 735 Therefore, the area of the circle = π × 735² = 3.14 × 735 × 735 = 1,698,504.5 m².
Problem 4
The area of the square is 540,225 cm². Find the perimeter of the square.
The perimeter of the square is 2,940 cm.
Explanation
The area of the square = a² Here, the area is 540,225 cm² The length of the side is √540,225 = 735 Perimeter of the square = 4a Here, a = 735 Therefore, the perimeter = 4 × 735 = 2,940.
Problem 5
Find the square of 736.
The square of 736 is 541,696.
Explanation
The square of 736 is multiplying 736 by 736. So, the square = 736 × 736 = 541,696
FAQs on Square of 735
1.What is the square of 735?
2.What is the square root of 735?
3.Is 735 a prime number?
4.What are the first few multiples of 735?
5.What is the square of 734?
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 735?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 735?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square of 735.
Prime number: Any number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, etc. 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 power. 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. Perfect square: A perfect square is an integer that is the square of an integer. For example, 36 is a perfect square because it is 6². Perimeter: Perimeter is the total distance around the edge of a two-dimensional shape. For example, the perimeter of a square is 4 times the length of its side.
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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.
