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Question: can you plz answer help me answer 36 and 38...

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D UNC-Chapel Hill Sirx Dh11ps://mail-allachnX Qllowiu prove [ralh × QHow lo provelhall x D16Ma7PS2Sol.pdf × e Gel Homework Helix ← → С ì https://mail-attachment.googleu sercontent.com/attachment/u/1/?ui=2&ik-2c3 3360d35&attid=0.0&permmsgid-msg-f1624048946 1076252 108th-1689c7e9.. Q ☆ 1371118 36. Prove that \/2 is irrational 37. Prove that between every two rational numbers there is an irrational number. 38. Prove that between every rational number and every irra tional number there is an irrational number. *39. Let S -xyi +x2y2 + .. +xy where xj,x2, ..., x, and у, , уг, ,y, are orderings of two different sequences of positive real numbers, each containing n elements. a) Show that S takes its maximum value over all ordeir- ings of the two sequences when both sequences are sorted (so that the elements in each sequence are in Ohttps://mail attachme... 1Je e 15 proof strategies [P NG 1059 PMcan you plz answer help me answer 36 and 38. Thanks alot.

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