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OpenStudy (anonymous):
oh uhm no idea
OpenStudy (solomonzelman):
we will do this when we overview
OpenStudy (solomonzelman):
\(\large\color{black}{\sqrt{x^2} =x }\)
So, \(\large\color{black}{\sqrt{7}\times\sqrt{x^2} =? }\)
OpenStudy (solomonzelman):
wouldn't it just be \(\large\color{black}{\sqrt{7}~x }\) ?
OpenStudy (solomonzelman):
(or, \(\large\color{black}{x\sqrt{7} }\), same thing )
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OpenStudy (anonymous):
Ok so its x\[\sqrt{7}\]
OpenStudy (solomonzelman):
yes. \(\large\color{black}{x\sqrt{7} }\)
OpenStudy (solomonzelman):
and \(\large\color{black}{\sqrt{7x}\times7\sqrt{7} =? }\)
OpenStudy (anonymous):
no idea
OpenStudy (anonymous):
it went away
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OpenStudy (solomonzelman):
I deleted it, because it had an error.
\(\large\color{black}{7\sqrt{7}\times\sqrt{7x} }\)
I am braking it into,
\(\large\color{black}{\sqrt{7}\times\sqrt{7} \times \sqrt{x}\times7 }\)
OpenStudy (solomonzelman):
can you tell me, what \(\large\color{black}{\sqrt{7}\times\sqrt{7} \times \sqrt{x}\times7 }\) will be?
OpenStudy (solomonzelman):
Rule: (for any real or non-real number \(\large\color{black}{c }\) ) \(\large\color{red}{\sqrt{c}\times\sqrt{c} =c }\)
OpenStudy (solomonzelman):
so, what will happen to the \(\large\color{blue}{\sqrt{7}\times\sqrt{7} }\) part of the \(\large\color{black}{\sqrt{7}\times\sqrt{7} \times \sqrt{x}\times7 }\) ?
OpenStudy (anonymous):
7x?
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OpenStudy (solomonzelman):
that's the whole thing, \(\large\color{black}{\sqrt{7}\times\sqrt{7} \times \sqrt{x}\times7 }\) ?
OpenStudy (anonymous):
like the answer?
OpenStudy (solomonzelman):
it's not the answer to your (entire) problem.
OpenStudy (anonymous):
ok based on the c thing you said above
OpenStudy (anonymous):
7x^2?
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OpenStudy (solomonzelman):
based on you have:
\(\large\color{black}{\sqrt{7}\times\sqrt{7} \times \sqrt{x}\times7 }\)
\(\large\color{black}{~~~~~~~~7~~~~~~\times \sqrt{x}\times7 }\)
OpenStudy (anonymous):
ok....49x
OpenStudy (solomonzelman):
and \(\large\color{black}{7 \times7=49 }\). So, \(\large\color{black}{49\sqrt{x} }\)
OpenStudy (solomonzelman):
you were close
OpenStudy (anonymous):
oh?
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OpenStudy (anonymous):
Yay I almost got something!
OpenStudy (solomonzelman):
you are going well....
I love disconnecting in a middle of a reply, makes me feel excited
OpenStudy (anonymous):
Oh no!
OpenStudy (solomonzelman):
We had:
\(\large\color{black}{\sqrt{7x}~(\sqrt{x}~-~7\sqrt{7}) }\)
We said:
~ \(\large\color{black}{\sqrt{7x}~\times~\sqrt{x}=x\sqrt{7} }\)
~ \(\large\color{black}{\sqrt{7x}~\times~7\sqrt{7}=49\sqrt{x} }\)
OpenStudy (solomonzelman):
can you tell me the answer to your prblem?
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OpenStudy (anonymous):
\[x \sqrt{7} \times 49\sqrt{x}\]
OpenStudy (solomonzelman):
you have a minus, in the parenthesis, so, shouldn't it be, \(\large\color{blue}{x\sqrt{7}- 49\sqrt{x} }\) ?
OpenStudy (anonymous):
ohh! I see
OpenStudy (solomonzelman):
Okay, then you want to show your work, right?
OpenStudy (anonymous):
yeah
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OpenStudy (anonymous):
this is what i got
OpenStudy (anonymous):
oh poo it wont let me post
OpenStudy (solomonzelman):
if the post button is hiding, click Tab+enter
OpenStudy (anonymous):
OpenStudy (anonymous):
there we go
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OpenStudy (solomonzelman):
you are correct.
OpenStudy (anonymous):
OK sweet!!!
OpenStudy (anonymous):
I have 2 left. Can you help with those as well?
OpenStudy (solomonzelman):
what I would do though, is in 2nd and 3rd row, explain that you are solving for each of the products, to the combine the result of what you get after explanding.
OpenStudy (solomonzelman):
*expanding
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