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nishant kumar agarwal Grade: Upto college level
        

the integer next above (√3 +1)2m contains 2m+1 as a factor. how can we say that?

7 years ago

Answers : (1)

Ramesh V
70 Points
										

for m=0, (root3 +1)2m = 1 is an intezer


so next intezer is 2, whihc has simply 2 as one factor ( put m=0 in 2(m+1)  )


for 'm' non zero


intezer next to (root3 +1)2m   is (root3 +1)2m + 1 which is less than or equal to (root3 +1)2m + (root3 +1)2m i.e., 2. (root3 +1)2m


we can write 2. (root3 +1)2m  as 2.(4+2(2)1/2)m  which is   =  2m.2. (root3 +2)m   which is divisible by 2(m+1)




any other answers from other experts are welcome


regards


Ramesh



7 years ago
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