Mathematics
14 Online
OpenStudy (anonymous):
see attachment (@jim_thompson5910 I know you helped me the last time but this one is different)
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OpenStudy (anonymous):
\[(5+2\sqrt{2})(8-3\sqrt{2})\]
OpenStudy (anonymous):
I can help you here
OpenStudy (anonymous):
Do you know how to start it?
OpenStudy (anonymous):
well normly I would distribute but I don't think you can do that on this one?!?
OpenStudy (anonymous):
yes you certainly can :)
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OpenStudy (anonymous):
how?
OpenStudy (anonymous):
you would have
(5*(-3√2)) + (5*8) + (2√2 *8) - (2√2 *3√2)
OpenStudy (anonymous):
Make sense so far?
OpenStudy (anonymous):
or -(5*3√2) + (5*8) + (2√2 *8) - (2√2 *3√2)
OpenStudy (anonymous):
The second one makes more since and sorry it took so long im doing laundary to?!!? lol
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OpenStudy (anonymous):
haha that's ok, so do you know what to do from here?
OpenStudy (anonymous):
do I add all the numbers outside the square
OpenStudy (anonymous):
@snowskimwake
OpenStudy (anonymous):
after you multiply. The next step would be to multiply inside the parenthesis
OpenStudy (anonymous):
This is what I got it to @snowskimwake \[(15\sqrt{2})+(40)+2\sqrt{2}*8)-(2\sqrt{2}*3\sqrt{2})\]
now im stuck
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OpenStudy (anonymous):
keep going though, you can multiple 2√2 * 8
OpenStudy (anonymous):
its just 16√2
OpenStudy (anonymous):
o okay so the next on would be \[6\sqrt{2}\]
OpenStudy (anonymous):
no, you have to multiple the inside too
OpenStudy (anonymous):
so √2 times √2 = √4
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OpenStudy (anonymous):
you would end up with 6√4
OpenStudy (anonymous):
and √4 is just 2, so then 6(2) which is 12
OpenStudy (anonymous):
I thought you leave the number inside the square alone if it is the same
OpenStudy (anonymous):
also you missed a sign, 15√2 should be negative
OpenStudy (anonymous):
only if you are adding or subtracting
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OpenStudy (anonymous):
if you are multiplying or dividing you do the same with the inside
OpenStudy (anonymous):
o okay so it you * you will change it?
OpenStudy (anonymous):
yeah, so you would have
-15√2+40+16√2−12
OpenStudy (anonymous):
then combine like terms and you got it! :D
OpenStudy (anonymous):
then it would be \[29+\sqrt{2}\]
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OpenStudy (anonymous):
28 but yes otherwise you got it
OpenStudy (anonymous):
okay sorry I made a addition mistake thank you!