SOLUTION: (2 √6 + 5 √5)(3 √6 – √5)

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Question 374919: (2 √6 + 5 √5)(3 √6 – √5)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%286%29+%2B+5sqrt%285%29%29%283sqrt%286%29+-+sqrt%285%29%29
Just use FOIL:

Using the Commutative and Associative properties to rearrange and regroup the factors in each term (to make things clearer) we get:

which simplifies as follows:

6%2A6+%2B+%28-2%29sqrt%2830%29+%2B+15sqrt%2830%29+%2B+%28-5%29%285%29
36+%2B+13sqrt%2830%29+%2B+%28-25%29
11+%2B+13sqrt%2830%29