Mathematics
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OpenStudy (anonymous):
what is the simplest form of √128x^5y^2
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OpenStudy (anonymous):
@aajugdar
OpenStudy (anonymous):
split 128 in such a way that you can get a complete square
like in last problem 9 was square of 3 thats why 63=9*7
OpenStudy (anonymous):
you can do this
OpenStudy (anonymous):
4 and 8
OpenStudy (anonymous):
\[\sqrt{128x^{5}y^2}\]
128 can be divided as 2*64 or \[2*8^{2}\] and x^5 as \[(x^2)^2*x\]
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OpenStudy (anonymous):
So\[\sqrt{2*8^2*(x^2)^2*x*y^2}\]
OpenStudy (anonymous):
^^^ thats the answer ?
im so confused
OpenStudy (anonymous):
4 and 8?
no
see sandeep solved it there
OpenStudy (anonymous):
no thats not the answer
OpenStudy (anonymous):
you take complete square terms outside
like 64 = 8^2
when you take it out of root
you get 8
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OpenStudy (anonymous):
when you take y^2 out of root you get y
OpenStudy (anonymous):
and when you take x^4 out of root you get x^2
OpenStudy (anonymous):
we have a relation \[\sqrt{a*b*c} = \sqrt{a}*\sqrt{b}*\sqrt{c}\]
OpenStudy (anonymous):
Im so confused/:
OpenStudy (anonymous):
\[\sqrt{2*8^2*(x^2)^2*x*y^2}\] =
\[\sqrt{2}*\sqrt{8^2}*\sqrt{(x^2)^2}*\sqrt{x}*\sqrt{y^2}\]
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OpenStudy (anonymous):
that gives u \[\sqrt{2}*8*x^2*\sqrt{x}*y\]
OpenStudy (anonymous):
\[8\sqrt{2}x^{3/2}y\]
OpenStudy (anonymous):
@miah did u get it?
OpenStudy (anonymous):
hmm
could hv been easier to teach face to face
answer is
\[8x^2y \sqrt{2xy}\]
OpenStudy (anonymous):
Yes i too feel same @aajugdar
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OpenStudy (anonymous):
Yes it would have been easier. But i some what get it.
OpenStudy (anonymous):
smwhat is better than nothing