Question

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

Answer 1

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

Answer 2

huh ?
do u just need square root of 60 ?

Answer 3

yes how to you get the square root?

Answer 4

can you factor 60 ?

Answer 5

what does that mean

Answer 6

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

Answer 7

60=...?

Answer 8

i dont ge it how did you get those numbers

Answer 9

divide 60 by 2, what u get ?

Answer 10

30

Answer 11

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

Answer 12

15

Answer 13

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 ?

Answer 14

5

Answer 15

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

Answer 16

yes right !!
& yes i am

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

any doubts ?

Answer 22

No Doubts!! & Thannk you so much for helping

Answer 23

welcome ^_^