Question 196318
let  a/b =(sqrt6)/c
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subst  a=sqrt24,,,given
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(sqrt 24)/ b =(sqrt 6) /c
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cross  multiply
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c sqrt24 = b sqrt6
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c/b = sqrt6/sqrt24 = sqrt(6/24) = sqrt (1/4) = +/-1/2
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checking
c/b = 1/2,  then  b=2c
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(sqrt24)/(2c) =(sqrt 6) / c
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SQRT(24/6) =2 =2,,,,,ok
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 or If  c/b  = -1/2,  ,,,,,-2=-2 ,,,ok
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