Multiplying Square Roots Calculator

Multiplying Square Roots Calculator helps to find the product of the given two square roots.

What is Multiplying Square Roots Calculator?

'Multiplying Square Roots Calculator' is an online tool that helps to calculate the product of the given two square roots. Online Multiplying Square Roots Calculator helps you to calculate the product of the given two square roots in a few seconds.

Multiplying Square Roots Calculator

NOTE: Enter numbers up to 3 digits.

How to Use Multiplying Square Roots Calculator?

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

• Step 1: Enter the number1 and number2 in the given input boxes.
• Step 2: Click on "Multiply" to find the product of the given two square roots
• Step 3: Click on "Reset" to clear the fields and enter the new values.

How to Multiply 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:

a² = n or a = √n 

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

Solved Examples on Multiplying Square Roots Calculator

Example 1:

Multiply the two 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 = 30

Example 2:

Multiply the two square roots \(\sqrt[] 40\) and \(\sqrt[] 49\)

Solution:  

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

\(\sqrt[] 40= \sqrt []{2 \times 2\times2\times5} =2\sqrt[]{10}\)

\(\sqrt[] 49= \sqrt []{7 \times 7} =\sqrt[]{7^2} = 7\)  

Add the following square roots \(\sqrt[]40× \sqrt[] 49\) = 2√10 × 7 = 14√10 = 44.27

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

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

☛ Related Articles:

• Square roots
• Cube and cube roots

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