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a+b+2√ab/√a+√b

(√a+√b)(a-√ab+b)/(√a+√b) -√ab=a-√ab+b -√ab=(√a-√b)²(√a-√b)² :(a-b)=(√a-√b)²/(√a-√b)(√a+√b)=(√a-√b)/(√a+√b)(√a-√b)/(√a+√b)+ 2√b/(√a+√b)=(a√-√b+2√b)/(√a+√b)=(√a+√b)/(√a+√b)=1