SOLUTION: Expand and simplify the following: (sqrt4 + sqrt3)(sqrt2 - sqrt4) *This is the same equation I have sent previously, however, I wanted to add more information for you to underst

Algebra ->  Square-cubic-other-roots -> SOLUTION: Expand and simplify the following: (sqrt4 + sqrt3)(sqrt2 - sqrt4) *This is the same equation I have sent previously, however, I wanted to add more information for you to underst      Log On


   

Question 151258: Expand and simplify the following: (sqrt4 + sqrt3)(sqrt2 - sqrt4)
*This is the same equation I have sent previously, however, I wanted to add more information for you to understand.
Found 2 solutions by joLeeBee, jim_thompson5910:
Answer by joLeeBee(6) About Me  (Show Source):
You can put this solution on YOUR website!
(sqrt4 + sqrt3)(sqrt2 + sqrt4)
-> sqrt4*sqrt2 - sqrt4^2 + sqrt3*sqrt2 - sqrt3*sqrt4
2*sqrt2 + sqrt3*sqrt2 - sqrt3*2 - 4
2^1*2^1/2 + sqrt6 - 2sqrt3 -4
2^3/2 + sqrt6 - 2sqrt3 - 4
-->cuberoot4 + sqrt6 - 2sqrt3 - 4

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

%28sqrt%284%29%2Bsqrt%283%29%29%28sqrt%282%29-sqrt%284%29%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28sqrt%284%29%29%2Bsqrt%283%29%29%28highlight%28sqrt%282%29%29-sqrt%284%29%29 Multiply the First terms:%28sqrt%284%29%29%2A%28sqrt%282%29%29=sqrt%288%29=2%2Asqrt%282%29.


Multiply the Outer terms:%28sqrt%284%29%29%2A%28-sqrt%284%29%29=-4.


%28sqrt%284%29%2Bhighlight%28sqrt%283%29%29%29%28highlight%28sqrt%282%29%29-sqrt%284%29%29 Multiply the Inner terms:%28sqrt%283%29%29%2A%28sqrt%282%29%29=sqrt%286%29.


Multiply the Last terms:%28sqrt%283%29%29%2A%28-sqrt%284%29%29=-sqrt%2812%29=-2%2Asqrt%283%29.


2%2Asqrt%282%29-4%2Bsqrt%286%29-2%2Asqrt%283%29 Now collect every term to make a single expression.


So %28sqrt%284%29%2Bsqrt%283%29%29%28sqrt%282%29-sqrt%284%29%29 FOILs to 2%2Asqrt%282%29-4%2Bsqrt%286%29-2%2Asqrt%283%29.


In other words, .