How to Use the Product of Two Numbers to Simplify a Radical

The video tutorial explains how to express 175 as a product of factors, specifically focusing on divisibility by 25. It demonstrates the process of breaking down 175 into 25 and 7, and then simplifying the square root of 25. The tutorial concludes with a recap of the method used to simplify square roots by taking the square root of each factor individually.

How can you determine if a number under the radical is divisible by 25?

What is the process to write 175 degrees as a product of numbers?

Explain how to simplify the square root of 25 in the context of the problem.

What is the final answer when simplifying the expression involving the square root of 175?

Why is it important to break down the square root of a product into individual square roots?