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
 

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.

1. By Multiplication Method
2. Using a Formula (a²)
3. Using a Calculator
    

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.
 

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
 

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 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.
   

• 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.