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.

What hint is given to determine if a number is divisible by 25?

• The number ends in 0 or 5.

• The number is even.

• The number is a multiple of 10.

• The number is less than 100.

How many times does 25 go into 100?

• Three times

• Four times

• Five times

• Six times

What is the product of 25 and 7?

• 150

• 175

• 185

• 165

What is the square root of 25?

• 5

• 7

• 4

• 6

Can the square root of 7 be simplified further?

• Yes, it can be simplified to 2.6

• No, it cannot be simplified further

• Yes, it can be simplified to 3

• Yes, it can be simplified to 2.5