SOLUTION: Please help. I just cant do these. Multiply. Simplify your answer as much as possible. (3 times the square root of 10+1)(3 times the square root of 5+4)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help. I just cant do these. Multiply. Simplify your answer as much as possible. (3 times the square root of 10+1)(3 times the square root of 5+4)      Log On


   

Question 190640: Please help. I just cant do these.
Multiply. Simplify your answer as much as possible.
(3 times the square root of 10+1)(3 times the square root of 5+4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283sqrt%2810%29%2B1%29%283sqrt%285%29%2B4%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283sqrt%2810%29%29%2B1%29%28highlight%283sqrt%285%29%29%2B4%29 Multiply the First terms:%283%2Asqrt%2810%29%29%2A%283%2Asqrt%285%29%29=45%2Asqrt%282%29.


%28highlight%283sqrt%2810%29%29%2B1%29%283sqrt%285%29%2Bhighlight%284%29%29 Multiply the Outer terms:%283%2Asqrt%2810%29%29%2A%284%29=12%2Asqrt%2810%29.


%283sqrt%2810%29%2Bhighlight%281%29%29%28highlight%283sqrt%285%29%29%2B4%29 Multiply the Inner terms:%281%29%2A%283%2Asqrt%285%29%29=3%2Asqrt%285%29.


%283sqrt%2810%29%2Bhighlight%281%29%29%283sqrt%285%29%2Bhighlight%284%29%29 Multiply the Last terms:%281%29%2A%284%29=4.


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So we have the terms: 45%2Asqrt%282%29, 12%2Asqrt%2810%29, 3%2Asqrt%285%29, 4


45%2Asqrt%282%29%2B12%2Asqrt%2810%29%2B3%2Asqrt%285%29%2B4 Now add every term listed above to make a single expression.


So %283sqrt%2810%29%2B1%29%283sqrt%285%29%2B4%29 FOILs to 45%2Asqrt%282%29%2B12%2Asqrt%2810%29%2B3%2Asqrt%285%29%2B4.


In other words, .