SOLUTION: Simplify {{{(root(5,4)-root(5,2))(root(5,125)+root(5,8))}}}

Question 126405: Simplify

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Now let's FOIL the expression

Remember, when you FOIL an expression, you follow this procedure:

Multiply the First terms:

Multiply the Outer terms:

Now simplify to get 2. In other words,

Multiply the Inner terms:

Multiply the Last terms:

Now collect every term to make a single expression

---------------------
Answer:
So foils and simplifies to

In other words,

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