SOLUTION: Homework Help (2 + sqrt3)squared The answer is 7 + 4sqrt3 but I don't know how they got the answer.

Question 145229: Homework Help
(2 + sqrt3)squared
The answer is 7 + 4sqrt3 but I don't know how they got the answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Expand. Remember something like

Now let's FOIL the expression

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

Multiply the First terms:

Multiply the Outer terms:

Multiply the Inner terms:

Multiply the Last terms:

Now collect every term to make a single expression

Now combine like terms

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

In other words,

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