# Algebra

The ratio of the areas of two squares is 32/63. 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?

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1. since the area scales by the square of the linear factor, the sides are in the ratio

√(32/63) = √(16*2 / 9*7) = 4/3 √(2/7)

I'll let you take it from there.

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posted by Steve

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