@jim_thompson5910
I need a lot of help can you be the hero for me today
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OpenStudy (anonymous):
lol im your hero wassup ... medl to opperate
jimthompson5910 (jim_thompson5910):
how many problems?
OpenStudy (anonymous):
umm 9
jimthompson5910 (jim_thompson5910):
we'll see how it goes, but 9 sounds a bit too high
jimthompson5910 (jim_thompson5910):
but let's do a few
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OpenStudy (anonymous):
okay
OpenStudy (anonymous):
\[\sqrt{(+3)^2)^2}\]
OpenStudy (anonymous):
I have to simplify it
jimthompson5910 (jim_thompson5910):
seems like a typo...just +3 ?
OpenStudy (anonymous):
\[\sqrt{(x+3)^2}\] sorry
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jimthompson5910 (jim_thompson5910):
ok from last night, I was trying to get you to see that square roots undo squaring
jimthompson5910 (jim_thompson5910):
basically, you take any positive number and you square it
then if you take the square root of that result, you get back to the original positive number
jimthompson5910 (jim_thompson5910):
example
5^2 = 25
sqrt(25) = 5
jimthompson5910 (jim_thompson5910):
so that's why sqrt(x^2) = x when x is some positive number
OpenStudy (anonymous):
okay so I square 3
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jimthompson5910 (jim_thompson5910):
so if you take some unknown number x+3 and you square it, you get (x+3)^2
jimthompson5910 (jim_thompson5910):
then take the square root of that to get ???
OpenStudy (anonymous):
that is where I get lost at
jimthompson5910 (jim_thompson5910):
do you see how sqrt(x^2) = x
OpenStudy (anonymous):
yes
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jimthompson5910 (jim_thompson5910):
so think of x+3 as a number (just like x is)
jimthompson5910 (jim_thompson5910):
if you want, let z = x+3
so sqrt( (x+3)^2 ) is the same as sqrt( z^2 )
OpenStudy (anonymous):
okay that is 4 right
jimthompson5910 (jim_thompson5910):
idk how you're getting 4
OpenStudy (anonymous):
ohh sorry
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jimthompson5910 (jim_thompson5910):
what does sqrt( z^2 ) simplify to
OpenStudy (anonymous):
z^2
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
square roots undo squaring
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OpenStudy (anonymous):
okay so wat would it be
jimthompson5910 (jim_thompson5910):
Are you sure you understand how
\[\Large \sqrt{x^2} = x\]
when x is positive
OpenStudy (anonymous):
I DONT THINK SO
jimthompson5910 (jim_thompson5910):
ok replace x in that equation with any number you want
jimthompson5910 (jim_thompson5910):
pick any positive number and tell me which one you pick