The product of the radical expression 7 √28 √2 can be simplified step by step.
First, we start by simplifying each radical in the expression:
- √28 can be simplified because 28 = 4 × 7, and √4 = 2. So, √28 = √(4 × 7) = √4 × √7 = 2√7.
- We don’t need to simplify √2 further as it is already in its simplest form.
Now substituting back into the original expression:
7 √28 √2 = 7 × 2√7 × √2
Next, we can multiply:
- First, find 7 × 2 = 14.
- Next, we can combine the remaining radicals: √7 × √2 = √(7 × 2) = √14.
Putting it all together, we have:
14√14
So, the product of the radical expression 7 √28 √2 simplifies to 14√14.