The value of ` (sqrt(3+2sqrt2)+sqrt(3-2sqrt2))^(2^(9))` is ________.

1.	The value of ` (sqrt(3+2sqrt2)+sqrt(3-2sqrt2))^(2^(9))` is ________.
Answer» Correct Answer - 6 `3+2sqrt2=(sqrt2+1)^(2) and 3-2sqrt2=(sqrt2-1)^(2)` ` rArr log_((sqrt(3+2sqrt2)+sqrt(3-2sqrt2)))2^(9)` ` = 1/(log_(2^(9))((sqrt2+1)+(sqrt2-1)))` ` = 1/(log_(2^(9))2^(3//2))` ` = 9/(3//2)=6`

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