Last updated on May 26th, 2025
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 172.
The square of a number is the product of the number itself. The square of 172 is 172 × 172. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 172², where 172 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 172 is 172 × 172 = 29584. Square of 172 in exponential form: 172² Square of 172 in arithmetic form: 172 × 172
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.
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 172.
Step 1: Identify the number. Here, the number is 172.
Step 2: Multiplying the number by itself, we get, 172 × 172 = 29584. The square of 172 is 29584.
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 172. So: 172² = 172 × 172 = 29584
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 172.
Step 1: Enter the number in the calculator Enter 172 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 172 × 172.
Step 3: Press the equal to button to find the answer Here, the square of 172 is 29584.
Tips and Tricks for the Square of 172 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.
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.
Find the side length of a square, where the area of the square is 29584 cm².
The area of a square = a² So, the area of the square = 29584 cm² So, the side length = √29584 = 172. The length of each side = 172 cm
The length of a square is 172 cm because the area is 29584 cm²
so the length is √29584 = 172.
Sarah is planning to tile her square patio of side length 172 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire patio?
The side length of the patio = 172 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 172 Therefore, the area of the patio = 172² = 172 × 172 = 29584. The cost to tile the patio = 29584 × 5 = 147920. The total cost = 147920 dollars.
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot.
So, the total cost is 147920 dollars.
Find the area of a circle whose radius is 172 meters.
The area of the circle = 92948.64 m²
The area of a circle = πr²
Here, r = 172
Therefore, the area of the circle = π × 172²
≈ 3.14 × 172 × 172
= 92948.64 m².
The area of the square is 29584 cm². Find the perimeter of the square.
The perimeter of the square is 688 cm.
The area of the square = a²
Here, the area is 29584 cm²
The side length is √29584 = 172.
Perimeter of the square = 4a
Here, a = 172
Therefore, the perimeter = 4 × 172 = 688.
Find the square of 173.
The square of 173 is 29929.
The square of 173 is found by multiplying 173 by 173.
So, the square = 173 × 173 = 29929.
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.
: He loves to play the quiz with kids through algebra to make kids love it.