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Im so lost Can someone please help me with this geomtric mean.. ive started the equation but how to you find the square root? Question BELOW

Mathematics
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\[\frac{ 5 }{ x }\frac{ x }{ 12} x^2=60 x=\sqrt{60}\]
huh ? do u just need square root of 60 ?
yes how to you get the square root?

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Other answers:

can you factor 60 ?
what does that mean
like 10=2*5 24=2*2*2*3
60=...?
i dont ge it how did you get those numbers
divide 60 by 2, what u get ?
30
so, 60 = 2*30 now 30 is a prime number ? no. so again divide 30 by 2, what u get ?
15
so, 60 = 2*2*15 now 15 is a prime number ? no. so again divide 15 by 2, can't divide.... divide 15 by 3, what u get ?
5
so, 60 = 2*2*3*5 right ? (since, 5 is a prime number, we stop) are you getting all this ?
yes right !! & yes i am
now comes the easy part ... \[\sqrt{x.x.y}=\sqrt{x.x}\sqrt y \] so what about \[\sqrt{60}=\sqrt{2.2.3.5}=...?\]
i meant \[\sqrt{x.x.y}=\sqrt{x.x}\sqrt y=x\sqrt y\]
wow sorry im horrible at math but is it \[2\sqrt{15}\]
yes, its absolutely correct :) and you are not horrible at math, you understood all this, means you are good :)
any doubts ?
No Doubts!! & Thannk you so much for helping
welcome ^_^

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