# Sum of Squares Calculator

'Sum of Squares Calculator' is an online tool that helps to calculate the sum of squares of two numbers. The sum of squares in statistics is a tool that is used to evaluate the dispersion of a dataset. To evaluate this, we take the sum of the square of the variation of each data point.

## What is the Sum of Squares Calculator?

Online Sum of Squares Calculator helps you to calculate the sum of squares of two numbers in a few seconds. The sum of squares formula in statistics is used to describe how well the data being modeled is represented by a model. It shows the dispersion of the dataset

### Sum of Squares Calculator

## How to Use the Sum of Squares Calculator?

Please follow the below steps to find the sum of squares of two numbers:

**Step 1:**Enter the values of 'a' and 'b' in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the sum of squares of two numbers.**Step 3:**Click on the**"Reset"**button to clear the field and enter new values.

## How to Calculate Sum of Squares Calculator?

The sum of squares can be calculated easily by using the following identity:

**(a ^{2} + b^{2}) = (a + b)^{2} - 2ab**

**Solved Examples on Sum of Squares Calculator**

**Example 1:**

Find the value of 36^{2} + 23^{2}.

**Solution:**

Given a = 36, b = 23

Using above identity, (a^{2} + b^{2}) = (a + b)^{2} - 2ab

= (36 + 23)^{2} - 2 × 36× 23

= 59^{2} - 1656

= 3481 - 1656

= 1825

Therefore, the sum of squares of the given two numbers is 1825.

**Example 2:**

Find the value of 45^{2} + 24^{2}.

**Solution:**

Given a = 45, b = 24

Using above identity, (a^{2} + b^{2}) = (a + b)^{2} - 2ab

= (45 + 24)^{2} - 2 × 45 × 24

= 69^{2} - 2160

= 4761 - 2160

= 2601

Therefore, the sum of squares of the given two numbers is 2601.

**Example 3:**

Find the value of 18^{2} + 13^{2}.

**Solution:**

Given a = 18, b = 13

Using above identity, (a^{2} + b^{2}) = (a + b)^{2} - 2ab

= (18 + 13)^{2} - 2 × 18 × 13

= 31^{2} - 468

= 961 - 468

= 493

Therefore, the sum of squares of the given two numbers is 493.

Now, use the above sum of squares calculator to calculate the following expressions:

- 6
^{2}+ 3^{2} - 24
^{2}+ 14^{2}

**ā Related Articles:**

**ā Math Calculators:**

visual curriculum