117 LearnersLast updated on May 26th, 2025
Square of 345
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 345.
What is the Square of 345
The square of a number is the product of the number itself. The square of 345 is 345 × 345. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 345², where 345 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 345 is 345 × 345 = 119025. Square of 345 in exponential form: 345² Square of 345 in arithmetic form: 345 × 345
How to Calculate the Value of Square of 345
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 345
Step 1: Identify the number. Here, the number is 345
Step 2: Multiplying the number by itself, we get, 345 × 345 = 119025. The square of 345 is 119025.
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 345 So: 345² = 345 × 345 = 119025
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 345.
Step 1: Enter the number in the calculator Enter 345 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 345 × 345
Step 3: Press the equal to button to find the answer Here, the square of 345 is 119025.
Tips and Tricks for the Square of 345 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 345
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 using the formula.
The formula to find the square of the number is a². Instead, students may use 345² with (3 + 4 + 5)² or (300 + 40 + 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 345
Problem 1
Find the length of the square, where the area of the square is 119025 cm².
The area of a square = a² So, the area of a square = 119025 cm² So, the length = √119025 = 345. The length of each side = 345 cm
Explanation
The length of a square is 345 cm. Because the area is 119025 cm² the length is √119025 = 345.
Problem 2
Sarah is planning to tile her square garden of length 345 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 = 345 feet The cost to tile 1 square foot of the 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 = 345 Therefore, the area of the garden = 345² = 345 × 345 = 119025. The cost to tile the garden = 119025 × 5 = 595125. The total cost = 595125 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 595125 dollars.
Problem 3
Find the area of a circle whose radius is 345 meters.
The area of the circle = 373430.25 m²
Explanation
The area of a circle = πr² Here, r = 345 Therefore, the area of the circle = π × 345² = 3.14 × 345 × 345 = 373430.25 m².
Problem 4
The area of the square is 119025 cm². Find the perimeter of the square.
The perimeter of the square is 1380 cm.
Explanation
The area of the square = a²
Here, the area is 119025 cm²
The length of the side is √119025 = 345
Perimeter of the square = 4a
Here, a = 345
Therefore, the perimeter = 4 × 345 = 1380.
Problem 5
Find the square of 346.
The square of 346 is 119716
Explanation
The square of 346 is multiplying 346 by 346.
So, the square = 346 × 346 = 119716
FAQs on Square of 345
1.What is the square of 345?
2.What is the square root of 345?
3.Is 345 a prime number?
4.What are the first few multiples of 345?
5.What is the square of 344?
6.How does learning Algebra help students in United States make better decisions in daily life?
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Important Glossaries for Square of 345.
- Perfect Square: A number that is the square of an integer. For example, 25 is a perfect square of 5.
- Exponent: A number that shows how many times the base is multiplied by itself. For example, in 9², 2 is the exponent.
- Area of a Circle: The space contained within the boundaries of a circle, calculated as πr².
- Multiplication: The arithmetic operation of scaling one number by another. For example, 3 × 4 = 12.
- Calculator: A tool or device used to perform arithmetic operations, such as finding squares or square roots.
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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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