Does one is forced to conclude that 2X = X \ sqrt -LCB- 2 -RCB- if series a + b + c + d + ... = X ?
If -LSB- math -RSB- \ sqrt -LCB- a -RCB- \ gt \ sqrt -LCB- b -RCB- \ gt \ sqrt -LCB- c -RCB- \ gt \ sqrt -LCB- d -RCB- , -LSB- / math -RSB- where -LSB- math -RSB- a , b , c , d -LSB- / math -RSB- are consecutive natural numbers , then which of the following is correct - -LSB- math -RSB- \ scriptsize -LRB- 1 -RRB- \ sqrt -LCB- a -RCB- - \ sqrt -LCB- b -RCB- > \ sqrt -LCB- c -RCB- - \ sqrt -LCB- d -RCB- , \ ; -LRB- 2 -RRB- \ sqrt -LCB- c -RCB- - \ sqrt -LCB- d -RCB- > \ sqrt -LCB- a -RCB- - \ sqrt -LCB- b -RCB- , \ ; -LRB- 3 -RRB- \ sqrt -LCB- a -RCB- - \ sqrt -LCB- c -RCB- > \ sqrt -LCB- c -RCB- - \ sqrt -LCB- d -RCB- , \ ; -LRB- 4 -RRB- \ sqrt -LCB- c -RCB- - \ sqrt -LCB- d -RCB- = \ sqrt -LCB- a -RCB- - \ sqrt -LCB- b -RCB- \ text -LCB- -LSB- explain -RSB- -RCB- ? -LSB- / math -RSB-