Mathematics
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OpenStudy (anonymous):
What is the simplest form of the radical expression?
4^(3)√(3x)+ 5^(3) √(10x)
Im getting 64√3x+125√10x
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OpenStudy (anonymous):
but thats not an answer choice
OpenStudy (anonymous):
@hartnn @mathlover2014 @ranga @Embryo @jcpd910
OpenStudy (anonymous):
4^3√3x + 5^3√10x
= x(4^3√3 + 5^3√10)
OpenStudy (anonymous):
Could you use the equation button to create the equation for us please? :)
hartnn (hartnn):
what are your answer choices ?
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OpenStudy (anonymous):
who?
hartnn (hartnn):
jane, you factored out \(\sqrt x\), right ?
OpenStudy (anonymous):
\[4^{3}\sqrt{3x}+5^{3}\sqrt{10x}\]
hartnn (hartnn):
post the answer choices please :)
OpenStudy (anonymous):
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hartnn (hartnn):
FIRSTLY
they are cube roots! \(\Large \sqrt[3]{3x}\)
Secondly, 2 cube roots cannot add up, and get simplified...
OpenStudy (anonymous):
so D!
hartnn (hartnn):
correct! :D
OpenStudy (anonymous):
thank you, i was overthinking it lol
hartnn (hartnn):
no problem,it happens :)
welcome ^_^
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OpenStudy (anonymous):
Would you help with one more please? @hartnn
hartnn (hartnn):
sure :)
OpenStudy (anonymous):
\[\sqrt[4]{81} x ^{20} y ^{8}\]
OpenStudy (anonymous):
What is a simpler form of the radical expression?
@hartnn
hartnn (hartnn):
that forth root is entire right ?? covering x and y too ?
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OpenStudy (anonymous):
hartnn (hartnn):
\((\sqrt[4]{81 x ^{20} y ^{8}}\))
hartnn (hartnn):
did you try ? whats your answer ?
OpenStudy (anonymous):
in all honesty i do not even know how to solve it :/ im just in a rush to finish
OpenStudy (anonymous):
i think its either A or D @hartnn
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hartnn (hartnn):
let me give you a hint then
\(\Large \sqrt{a^2} = |a|\)
we require to put an absolute sign only when the exponent is even number
OpenStudy (anonymous):
so D?
OpenStudy (anonymous):
@hartnn
hartnn (hartnn):
correct! :)
OpenStudy (anonymous):
yessss lol thank you :D
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hartnn (hartnn):
welcome ^_^