115 LearnersLast updated on May 26th, 2025
Square of 729
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 the topic, we will discuss the square of 729.
What is the Square of 729
The square of a number is the product of the number itself. The square of 729 is 729 × 729. We write it in math as 729², where 729 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 729 is 729 × 729 = 531441. Square of 729 in exponential form: 729² Square of 729 in arithmetic form: 729 × 729
How to Calculate the Value of Square of 729
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 729 Step 1: Identify the number. Here, the number is 729 Step 2: Multiplying the number by itself, we get, 729 × 729 = 531441. The square of 729 is 531441.
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 729 So: 729² = 729 × 729 = 531441
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 729. Step 1: Enter the number in the calculator Enter 729 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 729 × 729 Step 3: Press the equal to button to find the answer Here, the square of 729 is 531441. Tips and Tricks for the Square of 729 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 729
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 729² with (700 + 29)² or (70 + 9)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 729
Problem 1
Find the length of the square, where the area of the square is 531441 cm².
The area of a square = a² So, the area of a square = 531441 cm² So, the length = √531441 = 729. The length of each side = 729 cm
Explanation
The length of a square is 729 cm. Because the area is 531441 cm², the length is √531441 = 729.
Problem 2
Anna is planning to tile her square garden of length 729 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 729 feet The cost to tile 1 square foot of garden = 5 dollars. To find the total cost to tile, we find the area of the garden, Area of the garden = area of the square = a² Here a = 729 Therefore, the area of the garden = 729² = 729 × 729 = 531441. The cost to tile the garden = 531441 × 5 = 2657205. The total cost = 2657205 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 2657205 dollars.
Problem 3
Find the area of a circle whose radius is 729 meters.
The area of the circle = 1,672,230.7 m²
Explanation
The area of a circle = πr² Here, r = 729 Therefore, the area of the circle = π × 729² = 3.14 × 729 × 729 = 1,672,230.7 m².
Problem 4
The area of the square is 1396 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a² Here, the area is 1396 cm² The length of the side is √1396 = 37 Perimeter of the square = 4a Here, a = 37 Therefore, the perimeter = 4 × 37 = 148.
Problem 5
Find the square of 730.
The square of 730 is 532900
Explanation
The square of 730 is multiplying 730 by 730. So, the square = 730 × 730 = 532900
FAQs on Square of 729
1.What is the square of 729?
2.What is the square root of 729?
3.Is 729 a perfect square?
4.What are the first few multiples of 729?
5.What is the square of 728?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 729?
8.How do technology and digital tools in United States support learning Algebra and Square of 729?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 729.
Perfect square: A number that is the square of an integer. For example, 729 is a perfect square as 27² = 729. Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 729² where 729 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. Multiplication method: A method to find the square of a number by multiplying the number by itself. Calculator method: A method to find the square of a number using a calculator by multiplying the number by itself.
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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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