194 LearnersLast updated on May 26th, 2025
Square of 37
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 37.
What is the Square of 37
The square of a number is the product of the number itself. The square of 37 is 37 × 37. The square of a number always ends in 0, 4, 5, 6, or 9. We write it in math as 372, where 37 is the base and 2 is the exponent. The square of a positive and negative number is always positive. For example, 52 = 25; -52 = 25.
The square of 37 is 37 × 37 = 1369.
Square of 37 in exponential form: 372
Square of 37 in arithmetic form: 37 × 37
How to Calculate the Value of Square of 37
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 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 37
Step 1: Identify the number.
Here the number is 37
Step 2: multiplying the number by itself, we get,
37 × 37 = 1369.
The square of 37 is 1369.
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 37
So: 372 = 37 × 37 = 1369
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 37.
Step 1: Enter the number in the calculator
Enter 37 in the calculator.
Step 2: multiplying the number with itself using the multiplication button(×)
That is 37 × 37
Step 3: Press the equal to button to find the answer
Here, the square of 37 is 1369.
Tips and Tricks for the Square of 37
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 37
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 37
Problem 1
Find the length of the square, where the area of the square is 1369 cm².
The area of a square = a2
So, the area of a square = 1369 cm2
So, the length = √1369 = 37.
The length of each side = 37 cm
Explanation
The length of a square is 37 cm. Because the area is 1369 cm2 the length is √1369 = 37.
Problem 2
Tom is planning to paint his square wall of length 37 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 37 feet
The cost to paint the 1 square foot of wall = is 3 dollars.
To find the total cost to paint we find the area of the wall,
Area of the wall = area of the square = a2
Here a = 37
Therefore, the area of the wall = 372 = 37 × 37 = 1369.
The cost to paint the wall = 1369 × 3 = 4107.
The total cost = 4107 dollar
Explanation
To find the cost to paint the wall we multiply the area of the wall by cost to paint per foot. So, the total cost is 4107 dollars.
Problem 3
Find the area of a circle whose radius is 37 meters.
The area of the circle = 4,298.66 m2
Explanation
The area of a circle = πr2
Here, r = 37
Therefore, the area of the circle = π × 372
= 3.14 × 37 × 37 = 4298.66 m2.
Problem 4
The area of the square is 1396 cm2. Find the perimeter of the square.
The perimeter of the square is 148
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 38.
The square of 38 is 1444
Explanation
The square of 38 is multiplying 38 with 38.
So, the square = 38 × 38 = 1444
FAQs on Square of 37
1.What is the square of 37?
2.What is the square root of 37?
3.Is 37 a prime number?
4.What are the first few multiples of 37?
5.What is the square of 36?
6.How can children in United Kingdom use numbers in everyday life to understand Square of 37?
7.What are some fun ways kids in United Kingdom can practice Square of 37 with numbers?
8.What role do numbers and Square of 37 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Square of 37 skills?
Important Glossaries for Square 37
- Prime number: Any number which is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 9, …
- Exponential form: Exponential form is the way of writing the number in the form of power. For example, 92 where 9 is the base and 2 is the power.
- Square root: Square root is the inverse operation of square. The square root of a number is a number whose square is the number itself.
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About BrightChamps in United Kingdom
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.
