anonymous
  • anonymous
(3+5sqrt2)(4-sqrt2)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The approximate answer would be 26.04163056....... Your minimal polynomial would be x^2-4x-574
anonymous
  • anonymous
just to clarify is this what you meant: \[(3+5\sqrt{2})(4-\sqrt{2})\]
anonymous
  • anonymous
if you expand that out it becomes 12 - 3sqrt(2) + 20sqrt(2) - 5(2) which is 2 + 17sqrt(2)

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anonymous
  • anonymous
if so 3 times 4 is 12, 5 sqrt 2 times sqrt 2 is 5 sqrt 4 so that 4 would be out to 2 and 2 times 5 is 10 so 8-10 is -2 which is your answer.

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