Mathematics
7 Online
OpenStudy (anonymous):
simplify by factoring 4√243x^12y^14
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OpenStudy (anonymous):
Have you tried anything?
OpenStudy (anonymous):
yes but i am lost with these square root I can follow a pattern but there is not a pattern for this one in my manual
OpenStudy (anonymous):
no x^12 and y^14
OpenStudy (mertsj):
\[4\sqrt{243x ^{12}y ^{14}}\]
OpenStudy (mertsj):
Do I have the problem right?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
\[ 36 \sqrt{3} \sqrt{x^{12} y^{14}} \]
OpenStudy (mertsj):
\[4\sqrt{3*3*3*3*x ^{6}*x ^{6}*y ^{7}*y ^{7}}\]
OpenStudy (mertsj):
\[4(3)(3)(x ^{6}y ^{7})= 36x ^{6}y ^{7}\]
OpenStudy (turingtest):
you dropped a 3...
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OpenStudy (mertsj):
Yep you are correct so....
OpenStudy (anonymous):
and finallly,\[ \huge 36 \sqrt{3} \sqrt{x^{12} y^{14}} = 36 x^6 y^7 \sqrt{3} \]
OpenStudy (mertsj):
\[36\sqrt{3} x ^{6}y ^{7}\]
OpenStudy (anonymous):
which one is correct
OpenStudy (mertsj):
They are both the same. The sqrt3 is just moved
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OpenStudy (anonymous):
Of-course the one I posted ...
OpenStudy (turingtest):
FFM isn't being sincere
they are both right above
OpenStudy (anonymous):
I am always sincere.
OpenStudy (mertsj):
Except when you aren't.
OpenStudy (turingtest):
why must you confuse the student so?
Mertsj is right.
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OpenStudy (turingtest):
...that they are both right lol
OpenStudy (anonymous):
I am not confusing anyone, I never said anything about the other answer.
OpenStudy (turingtest):
fair enough
OpenStudy (mertsj):
Oh stop it. You guys clearly don't have enough to do.
OpenStudy (anonymous):
i thank you for your help i clearly need to study this much more i envy all of you
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OpenStudy (mertsj):
You are welcome
OpenStudy (anonymous):
Glad to help :)