SOLUTION: If a = the square root of 24 and a/b = the square root of 6/c, Then what does c/b =?

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Question 196318: If a = the square root of 24 and a/b = the square root of 6/c,
Then what does c/b =?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
let a/b =(sqrt6)/c
.
subst a=sqrt24,,,given
.
(sqrt 24)/ b =(sqrt 6) /c
.
cross multiply
.
c sqrt24 = b sqrt6
.
c/b = sqrt6/sqrt24 = sqrt(6/24) = sqrt (1/4) = +/-1/2
.
checking
c/b = 1/2, then b=2c
.
(sqrt24)/(2c) =(sqrt 6) / c
.
SQRT(24/6) =2 =2,,,,,ok
.
or If c/b = -1/2, ,,,,,-2=-2 ,,,ok
.