SOLUTION: 5. Multiply: (5√[2] + 3)(√[2] – 2√[3])

Algebra ->  Rational-functions -> SOLUTION: 5. Multiply: (5√[2] + 3)(√[2] – 2√[3])       Log On


   

Question 118219: 5. Multiply:
(5√[2] + 3)(√[2] – 2√[3])

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285sqrt%282%29%2B3%29%28sqrt%282%29-2sqrt%283%29%29 Start with the given expression

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


%28highlight%285sqrt%282%29%29%2B3%29%28highlight%28sqrt%282%29%29-2sqrt%283%29%29 Multiply the First terms:%285sqrt%282%29%29%2A%28sqrt%282%29%29=5sqrt%282%29%5E2=5%2A2=10


%28highlight%285sqrt%282%29%29%2B3%29%28sqrt%282%29%2Bhighlight%28-2sqrt%283%29%29%29 Multiply the Outer terms:


%285sqrt%282%29%2Bhighlight%283%29%29%28highlight%28sqrt%282%29%29-2sqrt%283%29%29 Multiply the Inner terms:%283%29%2A%28sqrt%282%29%29=3sqrt%282%29


%285sqrt%282%29%2Bhighlight%283%29%29%28sqrt%282%29%2Bhighlight%28-2sqrt%283%29%29%29 Multiply the Last terms:%283%29%2A%28-2sqrt%283%29%29=-6sqrt%283%29


10-10sqrt%286%29%2B3sqrt%282%29-6sqrt%283%29 Now collect every term to make a single expression



---------------------
Answer:
So %285sqrt%282%29%2B3%29%28sqrt%282%29-2sqrt%283%29%29 foils and simplifies to 10-10sqrt%286%29%2B3sqrt%282%29-6sqrt%283%29

In other words,