`sqrt(2+sqrt(2+sqrt(2+....))`

sqrt(2sqrt(2sqrt(2sqrt(2....))))=

The value of sqrt(2sqrt(2sqrt(2...oo)))

Use the principle of mathematical induction to prove that for all n in N sqrt(2+sqrt(2+sqrt2+...+...+sqrt2))=2cos ((pi)/(2^(n+1))) When the LHS contains n radical signs.

evaluate sqrt(-2+2sqrt(-2+2sqrt(-2+..............oo))

The value of log sqrt(2sqrt(2sqrt(2...oo" times")))+log sqrt(3sqrt(3sqrt(3...oo" times"))) is

Find the value of sqrt(2sqrt(2sqrt(2sqrt(2sqrt(2)))))