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:
(a2 + b2) = (a + b)2 - 2ab
Solved Examples on Sum of Squares Calculator
Example 1:
Find the value of 362 + 232.
Solution:
Given a = 36, b = 23
Using above identity, (a2 + b2) = (a + b)2 - 2ab
= (36 + 23)2 - 2 × 36× 23
= 592 - 1656
= 3481 - 1656
= 1825
Therefore, the sum of squares of the given two numbers is 1825.
Example 2:
Find the value of 452 + 242.
Solution:
Given a = 45, b = 24
Using above identity, (a2 + b2) = (a + b)2 - 2ab
= (45 + 24)2 - 2 × 45 × 24
= 692 - 2160
= 4761 - 2160
= 2601
Therefore, the sum of squares of the given two numbers is 2601.
Example 3:
Find the value of 182 + 132.
Solution:
Given a = 18, b = 13
Using above identity, (a2 + b2) = (a + b)2 - 2ab
= (18 + 13)2 - 2 × 18 × 13
= 312 - 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:
- 62 + 32
- 242 + 142