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multiplicamos numerador y denominador por el conjugado del denominador asi:
(9× 8√3 + 2√7) /(8√3 - 2√7)×( 8√3 +2√7)
(64 √3 + 18√7)/(8√3)^2 -(2√7)^2
(64 √3 +18√7)/16×3-4×7
(64 √3 +18√7)/48-28
(64 √3 +18√7)/20