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(2√3 + 4)(5√3 - 2)

 Nov 13, 2015
 #1
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Simplify the following:
(2 sqrt(3)+4) (5 sqrt(3)-2)

Factor 2 out of 4+2 sqrt(3) giving 2 (2+sqrt(3)):
2 (2+sqrt(3)) (5 sqrt(3)-2)

(2+sqrt(3)) (5 sqrt(3)-2) = 2 (-2)+2×5 sqrt(3)+sqrt(3) (-2)+sqrt(3)×5 sqrt(3) = -4+10 sqrt(3)-2 sqrt(3)+15 = 11+8 sqrt(3):
Answer: | 
| 2 [11+8 sqrt(3)]

 Nov 13, 2015
 #2
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Multiplying out the two terms....

 

(2sqrt3 + 4)(5sqrt3 - 2) =

10 (3) - 4 sqrt3 + 20sqrt3 - 8 =

30 + 16 sqrt3 -8 =

22 +16 sqrt3 =

22 + 16 (1.73205) = 49.713

 Nov 13, 2015

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