anonymous
  • anonymous
(3+5sqrt2)(4-sqrt2)
Mathematics
katieb
  • katieb
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Mertsj
  • Mertsj
Have you tried FOIL?
Mertsj
  • Mertsj
It's very hard to help you if you won't answer me.
anonymous
  • anonymous
Yes

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Mertsj
  • Mertsj
So what did you get?
anonymous
  • anonymous
12-3sqrt2+20sqrt4+5sqrt2
Mertsj
  • Mertsj
The Inside is 20sqrt2 isn't it?
Mertsj
  • Mertsj
\[(3+5\sqrt{2})(4-\sqrt{2})=12-3\sqrt{2}+20\sqrt{2}-5\sqrt{2}\sqrt{2})\]
Mertsj
  • Mertsj
\[5\sqrt{2}\sqrt{2}=5(2)=10\]
Mertsj
  • Mertsj
Also \[-3\sqrt{2}+20\sqrt{2}=17\sqrt{2}\]
Mertsj
  • Mertsj
So we have \[12+17\sqrt{2}+10=22+17\sqrt{2}\]
Mertsj
  • Mertsj
Do you understand?
Mertsj
  • Mertsj
Whoops. It's -10 so the result would be 2+17sqrt2
anonymous
  • anonymous
Okay, yes I do thank you

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