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Suppose that a, b, and c are real numbers such that a/b = sqrt(10)/sqrt(21) and b/c = sqrt(14)/sqrt(15). Find a/c. Completely simplify and rationalize the denominator.

 Feb 15, 2022

Best Answer 

 #1
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a/b  *   b/c  = a/c

 

sqrt10 / sqrt 21     *  sqrt 14/sqrt15   =

 

sqrt 140  / sqrt 315

2 sqrt 35  / 3 sqrt 35   = 2/3

 Feb 15, 2022
 #1
avatar
+1
Best Answer

a/b  *   b/c  = a/c

 

sqrt10 / sqrt 21     *  sqrt 14/sqrt15   =

 

sqrt 140  / sqrt 315

2 sqrt 35  / 3 sqrt 35   = 2/3

Guest Feb 15, 2022

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