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Simplify ((-4sqrt(2))-(2sqrt(3))*((-4sqrt(4))+sqrt(3))?

 Dec 2, 2016
 #1
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Simplify the following:
-4 sqrt(2) - 2 sqrt(3) (sqrt(3) - 4 sqrt(4))

sqrt(4) = sqrt(2^2) = 2:
-4 sqrt(2) - 2 sqrt(3) (sqrt(3) - 42)

-4×2 = -8:
-4 sqrt(2) - 2 sqrt(3) (-8 + sqrt(3))

-(sqrt(3) - 8) = 8 - sqrt(3):
2 sqrt(3) 8 - sqrt(3) - 4 sqrt(2)

sqrt(3) (8 - sqrt(3)) = 8 sqrt(3) - 3:
2 8 sqrt(3) - 3 - 4 sqrt(2)

Expand 2 (8 sqrt(3) - 3), resulting in 16 sqrt(3) - 6:
Answer: |16sqrt(3) - 6 - 4sqrt(2)

 Dec 2, 2016
 #2
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((-4sqrt(2))-(2sqrt(3))*((-4sqrt(4))+sqrt(3))  =

 

  [ -4√ 2   - 2√3 ]  *  [ -4 √4   + √ 3 ]   =        note......  [ √4  = 2  ]

 

[ -4√ 2   - 2√3 ]  * [ -4 * 2   +  √3 ]  =

 

[ -4√ 2   - 2√3 ]  * [ -8   +  √3 ]   = 

 

-2  [ 2√2 + √3 ] * [ -8 + √3 ]           

 

-2 [ -16√2 - 8√3 + 2√6 + 3]  =

 

32√2 + 16√3 - 4√6  - 6 

 

 

 

cool cool cool

 Dec 2, 2016

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