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The ratio of the areas of two squares is 63/35. After rationalizing the denominator, the ratio of their side lengths can be expressed in the simplified form a*sqrt(b)/c where a, b, and c are integers. What is the value of the sum a + b + c?

 Jan 27, 2021
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The ratio  of the  side  lengths  is  just   sqrt (63)  / sqrt (35)  =

 

sqrt  (9 * 7)   /sqrt  ( 5 * 7)   =

 

3 sqrt ( 7)  / [ sqrt (5) * sqrt (7) ]  -

 

3 / sqrt (5)    =

 

3sqrt (5)  / 5

 

a + b + c  =   

 

3 + 5  +  5   =

 

13

 

 

cool cool cool

 Jan 27, 2021

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