SOLUTION: ( sqrt 5 - sqrt7)^2 answer:12 - 2 sqrt 35 ok so i tried the foil method and i got sqrt 5 sqrt7 as my answer can anyone tell me how my book got 12-2 sqrt 35 as an ans

Question 195531: ( sqrt 5 - sqrt7)^2

answer:12 - 2 sqrt 35

ok so i tried the foil method and i got sqrt 5 sqrt7 as my answer can anyone tell me how my book got 12-2 sqrt 35 as an 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:.

---------------------------------------------------
So we have the terms: , , , and

Now add every term listed above to make a single expression.

Now combine like terms.

So FOILs to .

In other words, .

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