128 LearnersLast updated on May 27th, 2025
Square of 552
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 552.
What is the Square of 552
The square of a number is the product of the number itself.
The square of 552 is 552 × 552.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 552², where 552 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 552 is 552 × 552 = 304,704.
Square of 552 in exponential form: 552²
Square of 552 in arithmetic form: 552 × 552
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How to Calculate the Value of Square of 552
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(a2)
- 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 552.
Step 1: Identify the number. Here, the number is 552.
Step 2: Multiplying the number by itself, we get, 552 × 552 = 304,704.
The square of 552 is 304,704.
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 552 So: 552² = 552 × 552 = 304,704
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 552.
Step 1: Enter the number in the calculator Enter 552 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 552 × 552
Step 3: Press the equal to button to find the answer Here, the square of 552 is 304,704.
Tips and Tricks for the Square of 552
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 552
Mistakes are common among students 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 using the formula.
The formula to find the square of the number is a². Instead, students may use 552² with (5+5+2)² or (500+50+2)². So students should check and use the correct formula and double-check the answers to avoid all 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 do regular practice to avoid errors.
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Solved Examples on Square of 552
Problem 1
Find the length of the square, where the area of the square is 304,704 cm².
The area of a square = a²
So, the area of a square = 304,704 cm²
So, the length = √304,704 = 552.
The length of each side = 552 cm
Explanation
The length of a square is 552 cm.
Because the area is 304,704 cm² the length is √304,704 = 552.
Problem 2
Sarah is planning to carpet her square floor of length 552 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full floor?
The length of the floor = 552 feet
The cost to carpet 1 square foot of floor = 5 dollars.
To find the total cost to carpet, we find the area of the floor, Area of the floor = area of the square = a²
Here a = 552
Therefore, the area of the floor = 552² = 552 × 552 = 304,704.
The cost to carpet the floor = 304,704 × 5 = 1,523,520.
The total cost = 1,523,520 dollars
Explanation
To find the cost to carpet the floor, we multiply the area of the floor by the cost to carpet per foot.
So, the total cost is 1,523,520 dollars.
Problem 3
Find the area of a circle whose radius is 552 meters.
The area of the circle = 957,921.6 m²
Explanation
The area of a circle = πr²
Here, r = 552
Therefore, the area of the circle = π × 552² = 3.14 × 552 × 552 = 957,921.6 m².
Problem 4
The area of the square is 304,704 cm². Find the perimeter of the square.
The perimeter of the square is 2,208 cm.
Explanation
The area of the square = a²
Here, the area is 304,704 cm²
The length of the side is √304,704 = 552
Perimeter of the square = 4a
Here, a = 552
Therefore, the perimeter = 4 × 552 = 2,208.
Problem 5
Find the square of 553.
The square of 553 is 305,809.
Explanation
The square of 553 is multiplying 553 by 553.
So, the square = 553 × 553 = 305,809
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FAQs on Square of 552
1.What is the square of 552?
2.What is the square root of 552?
3.Is 552 a prime number?
4.What are the first few multiples of 552?
5.What is the square of 550?
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 552?
8.How do technology and digital tools in United States support learning Algebra and Square of 552?
9.Does learning Algebra support future career opportunities for students in United States?
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Important Glossaries for Square of 552.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 3², 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. The square root of 9 is 3.
- Calculator: An electronic device used for performing mathematical calculations.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 12 is a multiple of 4.
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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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