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?
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
