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OpenStudy (just_gymnast_me):
Can the expression s times the square root of the quantity 64 times s cubed. + 2stthe square root of s. + 8the square root of the quantity 2 times s. be simplified into an expression with fewer terms? Explain and simplify, if possible.
OpenStudy (just_gymnast_me):
im going to draw it
OpenStudy (misty1212):
hi!!
OpenStudy (misty1212):
the equation tool, it is much easier
OpenStudy (just_gymnast_me):
ok i will use that then
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OpenStudy (just_gymnast_me):
\[s \sqrt{64s^3} + 2s \sqrt{s}+8\sqrt{2s}\]
OpenStudy (misty1212):
ok good
OpenStudy (misty1212):
you got a bunch of stuff you can do
first off \(\sqrt{64}=8\)
OpenStudy (misty1212):
adn \[\sqrt{s^3}=s\sqrt{s}\]
OpenStudy (just_gymnast_me):
that makes sense so far
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OpenStudy (misty1212):
that means you can start with
\[8s^2\sqrt{s}+2s\sqrt{s}+8\sqrt{2s}\]
OpenStudy (misty1212):
after that i am not sure what there is left to do
OpenStudy (just_gymnast_me):
same..
OpenStudy (misty1212):
you could write it as
\[(8s^2+2s)\sqrt{s}+8\sqrt{2x}\] for example
OpenStudy (misty1212):
but that is not really any simpler than what you had before it
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