ConnexussKidd96
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



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ConnexussKidd96
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\[\frac{ 5 }{ x }\frac{ x }{ 12} x^2=60 x=\sqrt{60}\]

hartnn
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huh ?
do u just need square root of 60 ?

ConnexussKidd96
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yes how to you get the square root?

hartnn
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can you factor 60 ?

ConnexussKidd96
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what does that mean

hartnn
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like 10=2*5
24=2*2*2*3

hartnn
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60=...?

ConnexussKidd96
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i dont ge it how did you get those numbers

hartnn
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divide 60 by 2, what u get ?

ConnexussKidd96
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30

hartnn
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so, 60 = 2*30
now 30 is a prime number ? no.
so again divide 30 by 2, what u get ?

ConnexussKidd96
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15

hartnn
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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 ?


hartnn
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so, 60 = 2*2*3*5
right ?
(since, 5 is a prime number, we stop)
are you getting all this ?

ConnexussKidd96
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yes right !!
& yes i am

hartnn
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now comes the easy part ...
\[\sqrt{x.x.y}=\sqrt{x.x}\sqrt y \]
so what about
\[\sqrt{60}=\sqrt{2.2.3.5}=...?\]

hartnn
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i meant \[\sqrt{x.x.y}=\sqrt{x.x}\sqrt y=x\sqrt y\]

ConnexussKidd96
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wow sorry im horrible at math but is it \[2\sqrt{15}\]

hartnn
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yes, its absolutely correct :)
and you are not horrible at math, you understood all this, means you are good :)

hartnn
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any doubts ?

ConnexussKidd96
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No Doubts!! & Thannk you so much for helping

hartnn
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welcome ^_^