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Prove that (a) 5< √5 + 3√5 + 4√5 (b) 8> √8 + 3√8 + 4√8

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Prove that 

 (a) 5< √5 + 3√5 + 4√5 

 (b) 8> √8 + 3√8 + 4√8 

 (a) n> √n + 3√n + 4 √n for all integers n ≥ 9

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