SOLUTION: Multiply and show steps: (5[2]+2[3])([2]-2[3]) Hint: where there is a [] it is also a square root sign as well. I am limited to what I am demonstrate! Thanks

Algebra ->  Radicals -> SOLUTION: Multiply and show steps: (5[2]+2[3])([2]-2[3]) Hint: where there is a [] it is also a square root sign as well. I am limited to what I am demonstrate! Thanks      Log On


   

Question 183026: Multiply and show steps:
(5[2]+2[3])([2]-2[3])
Hint: where there is a [] it is also a square root sign as well. I am limited to what I am demonstrate!
Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285sqrt%282%29%2B2sqrt%283%29%29%28sqrt%282%29-2sqrt%283%29%29 Start with the given expression.


Now let's FOIL the expression.


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


Multiply the First terms:%285%2Asqrt%282%29%29%2A%28sqrt%282%29%29=10.


Multiply the Outer terms:%285%2Asqrt%282%29%29%2A%28-2%2Asqrt%283%29%29=-10%2Asqrt%286%29.


Multiply the Inner terms:%282%2Asqrt%283%29%29%2A%28sqrt%282%29%29=2%2Asqrt%286%29.


Multiply the Last terms:%282%2Asqrt%283%29%29%2A%28-2%2Asqrt%283%29%29=-12.


---------------------------------------------------
So we have the terms: 10, -10%2Asqrt%286%29, 2%2Asqrt%286%29, and -12


10-10%2Asqrt%286%29%2B2%2Asqrt%286%29-12 Now collect every term listed above to make a single expression.


-2-8%2Asqrt%286%29 Now combine like terms.


So %285sqrt%282%29%2B2sqrt%283%29%29%28sqrt%282%29-2sqrt%283%29%29 FOILs to -2-8%2Asqrt%286%29.


In other words, %285sqrt%282%29%2B2sqrt%283%29%29%28sqrt%282%29-2sqrt%283%29%29=-2-8%2Asqrt%286%29.