Adding Square Roots Calculator

Adding Square Root Calculator helps to find the sum of the given two square roots.

What is Adding Square Roots Calculator?

'Cuemath's Adding Square Roots Calculator' is an online tool that helps to calculate the sum of the given two square roots. Cuemath's online Adding Square Roots Calculator helps you to calculate the sum of the given two square roots in a few seconds.

Note: Enter numbers up to 3 digits.

How to Use Adding Square Roots Calculator?

Please follow the steps below on how to use the calculator:

• Step 1: Enter the value of 'a' and 'b' in the given input boxes.
• Step 2: Click on "Add" to find the sum of the given two square roots
• Step 3: Click on "Reset" to clear the fields and enter the new values.

How to Add Two Square Roots?

The square root of a number is defined as a number that, when multiplied to itself, gives the product as the original number. The square root of a number 'n' can be written as '√n'. It means that there is a number 'a' when multiplied again with 'a' gives 'n': 

a × a = n. This can also be written as:

Let us try to understand the with the help of an example.

Solved Example:

Add the square roots \(\sqrt[] 25\) and \(\sqrt[] 36\)

Solution:  

Let us write the prime factor of the number and simplify it further.

\(\sqrt[] 25= \sqrt []{5 \times 5} =\sqrt[]{5^2} = 5\)

\(\sqrt[] 36= \sqrt []{6 \times 6} =\sqrt[]{6^2} = 6\)  

Add the following square roots \(\sqrt[]25 + \sqrt[] 36\) = 5 + 6 = 11

Similarly, you can try the calculator to find the sum for the following:

• \( \sqrt[] 800\) and \(\sqrt[] {135}\)
• \( \sqrt[] {64}\) and \( \sqrt[] {625}\)