101 LearnersLast updated on May 26th, 2025
Square of 174
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 174.
What is the Square of 174
The square of a number is the product of the number itself. The square of 174 is 174 × 174. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 174², where 174 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 174 is 174 × 174 = 30,276. Square of 174 in exponential form: 174² Square of 174 in arithmetic form: 174 × 174
How to Calculate the Value of Square of 174
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 174.
Step 1: Identify the number. Here, the number is 174.
Step 2: Multiplying the number by itself, we get, 174 × 174 = 30,276. The square of 174 is 30,276.
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 174. So: 174² = 174 × 174 = 30,276
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 174.
Step 1: Enter the number in the calculator Enter 174 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 174 × 174
Step 3: Press the equal to button to find the answer Here, the square of 174 is 30,276.
Tips and Tricks for the Square of 174 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 174
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.
Solved Examples on Square of 174
Problem 1
Find the length of the square, where the area of the square is 30,276 cm².
The area of a square = a² So, the area of a square = 30,276 cm² So, the length = √30,276 = 174. The length of each side = 174 cm
Explanation
The length of a square is 174 cm.
Because the area is 30,276 cm² the length is √30,276 = 174.
Problem 2
Anna is planning to tile her square floor of length 174 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 174 feet The cost to tile 1 square foot of floor = 5 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 = 174 Therefore, the area of the floor = 174² = 174 × 174 = 30,276. The cost to tile the floor = 30,276 × 5 = 151,380. The total cost = 151,380 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 151,380 dollars.
Problem 3
Find the area of a circle whose radius is 174 meters.
The area of the circle = 95,150.64 m²
Explanation
The area of a circle = πr²
Here, r = 174
Therefore, the area of the circle = π × 174²
= 3.14 × 174 × 174
= 95,150.64 m².
Problem 4
The area of the square is 31,104 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 31,104 cm²
The length of the side is √31,104 = 176
Perimeter of the square = 4a
Here, a = 176
Therefore, the perimeter = 4 × 176 = 704.
Problem 5
Find the square of 175.
The square of 175 is 30,625
Explanation
The square of 175 is multiplying 175 by 175.
So, the square = 175 × 175 = 30,625
FAQs on Square of 174
1.What is the square of 174?
2.What is the square root of 174?
3.Is 174 a prime number?
4.What are the first few multiples of 174?
5.What is the square of 173?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 174?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 174?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square of 174.
- Prime number: A number that is only divisible by 1 and itself, like 2, 3, and 5.
- Perfect square: A number that is the square of an integer, such as 16 (4²).
- Square root: The inverse operation of squaring, which finds a number whose square is the given number.
- Exponential form: Writing a number as a base raised to a power, like 9².
- Multiplication method: Finding the square of a number by multiplying it by itself.
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About BrightChamps in Singapore
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.
