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Formula for Squaring

The formula for squaring is used to find the square of a number. The square of any number is calculated by multiplying the number by itself. It is represented by the number raised to power 2. The squaring formula helps in finding the square of any value. If we know how to find the square of a number, it becomes easy to calculate the complicated problems. The formula of squaring is explained below along with the solved examples.

What Is the Formula for Squaring?

The formula of squaring is very helpful in understanding the process of squaring a number. This helps in calculating the square of any number. Also, square and square root are inverse operations.

squaring formula

Squaring Formula

The formula to calculate the square of any number, say a is given as:

Square of a = a²

= a × a

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Examples Using Formula for Squaring

Example 1: Using the squaring formula, calculate the square of 12.

Solution:

To find: Square of 12

Using the formula for squaring,

Square of 12 = 12²

= 12 × 12

= 144

Answer: Square of 12 = 144

Example 2: Calculate the square of 29 using the formula for squaring.

Solution:

To find: Square of 29

Using the formula for squaring,

Square of 29 = 29²

= 29 × 29

= 841

Answer: Square of 29 = 841

Example 3: Calculate the area of a square with side 4 units.

Solution:

To find: the area of the square of side 4 units

Using the formula for squaring or more precisely the area of square formula,

Area of square = 4²

= 4 × 4

= 16 sq units

Answer: Area of Square = 16 sq units

FAQs on Squaring Formula

What Is the Squaring Formula in Math?

In math, the square formula calculates the square of any number, square of a = a² = a × a, such as the square of 5 is 5 × 5 = 25. We can clearly see that the square and the square root of any number are inverse operations.

How To Use Squaring Formula?

In order to use squaring formula, follow the steps given below:

Step 1: Identify the number a.
Step 2: Put the value in the squaring formula, a = a² = a × a

What Is the Squaring Formula for Binomials?

Squaring a binomial can be done using the following method. Firstly, using the algebraic formula or following the steps given below:

Step 1: Square the first term of the binomial.
Step 2: Multiply 2 to the product of the first term and last term of the binomial.
Step 3: Square the last term of the binomial.

For example, (a+b)²= a² + 2ab + b²

What Is the Difference Between Completing the Square and Squaring Formula?

In algebra, completing the square formula which is given as, ax² + bx + c ⇒ (x + p)² + constant, is used to compute quadratic polynomials whereas the squaring formula which is given as a² = a × a, is used to find the square of any number.