1.

Evaluate (2 + √3)5 + (2 – 13)5

Answer»

(2 + √3)5 + (2 – √3)5 = 2 [5C0 25 + 5C223 (√3)2 + 5C421 (√3)4

= 2[32 + 240 + 90] 

= 724



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