anonymous
  • anonymous
Express the volume of the rectangular prism in simplest radical form. l: 5√2 + 2√3, w: √15 - √12 and h: 5√2 - 2√3?
Mathematics
katieb
  • katieb
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Mertsj
  • Mertsj
\[(5\sqrt{2}+2\sqrt{3})(\sqrt{15}-2\sqrt{3})(5\sqrt{2}-2\sqrt{3})\] Let's rearrange for convenience.
Mertsj
  • Mertsj
\[(5\sqrt{2}+2\sqrt{3})(5\sqrt{2}-2\sqrt{3})(\sqrt{15}-2\sqrt{3})\] \[(50-12)(\sqrt{15}-2\sqrt{3})\] \[38(\sqrt{15}-2\sqrt{3})=38\sqrt{15}-76\sqrt{3}\]
anonymous
  • anonymous
the answer has to be: 38√15 - 38√2

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Mertsj
  • Mertsj
Well then you have posted something wrong because the answer I gave you is the correct one for the problem you posted.
anonymous
  • anonymous
|dw:1327890217385:dw|
Mertsj
  • Mertsj
|dw:1327890361280:dw|
Mertsj
  • Mertsj
The circled part is different from what you originally posted and still will not give the answer you stated.
Mertsj
  • Mertsj
So whenever you figure out what that number is, multiply it by 38 and that will be your answer.

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